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Finding the Third Proportional to 117,657.56 and 177,595.03

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Solution

The third proportional to 117,657.56 and 177,595.03 is: 268,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,657.56 : 177,595.03 = 177,595.03 : x
  2. Step 2: Convert to fraction form
    117,657.56/177,595.03 = 177,595.03/x
  3. Step 3: Cross multiply
    117,657.56x = 177,595.03 × 177,595.03
  4. Step 4: Simplify right side
    117,657.56x = 31,539,995,124.69
  5. Step 5: Solve for x
    x = 31,539,995,124.69/117,657.56
  6. Step 6: Final answer
    x = 268,066.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.