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Finding the Third Proportional to 127,334 and 172,317

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Solution

The third proportional to 127,334 and 172,317 is: 233,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,334 : 172,317 = 172,317 : x
  2. Step 2: Convert to fraction form
    127,334/172,317 = 172,317/x
  3. Step 3: Cross multiply
    127,334x = 172,317 × 172,317
  4. Step 4: Simplify right side
    127,334x = 29,693,148,489
  5. Step 5: Solve for x
    x = 29,693,148,489/127,334
  6. Step 6: Final answer
    x = 233,191.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.