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Finding the Third Proportional to 117,572 and 177,418

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Solution

The third proportional to 117,572 and 177,418 is: 267,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,572 : 177,418 = 177,418 : x
  2. Step 2: Convert to fraction form
    117,572/177,418 = 177,418/x
  3. Step 3: Cross multiply
    117,572x = 177,418 × 177,418
  4. Step 4: Simplify right side
    117,572x = 31,477,146,724
  5. Step 5: Solve for x
    x = 31,477,146,724/117,572
  6. Step 6: Final answer
    x = 267,726.56

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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.