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Finding the Third Proportional to 117,657 and 177,570

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Solution

The third proportional to 117,657 and 177,570 is: 267,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,657 : 177,570 = 177,570 : x
  2. Step 2: Convert to fraction form
    117,657/177,570 = 177,570/x
  3. Step 3: Cross multiply
    117,657x = 177,570 × 177,570
  4. Step 4: Simplify right side
    117,657x = 31,531,104,900
  5. Step 5: Solve for x
    x = 31,531,104,900/117,657
  6. Step 6: Final answer
    x = 267,991.75

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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.