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Finding the Third Proportional to 117,703.50 and 177,660

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Solution

The third proportional to 117,703.50 and 177,660 is: 268,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,703.50 : 177,660 = 177,660 : x
  2. Step 2: Convert to fraction form
    117,703.50/177,660 = 177,660/x
  3. Step 3: Cross multiply
    117,703.50x = 177,660 × 177,660
  4. Step 4: Simplify right side
    117,703.50x = 31,563,075,600
  5. Step 5: Solve for x
    x = 31,563,075,600/117,703.50
  6. Step 6: Final answer
    x = 268,157.49

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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.