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Finding the Third Proportional to 127,282 and 172,779

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Solution

The third proportional to 127,282 and 172,779 is: 234,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,282 : 172,779 = 172,779 : x
  2. Step 2: Convert to fraction form
    127,282/172,779 = 172,779/x
  3. Step 3: Cross multiply
    127,282x = 172,779 × 172,779
  4. Step 4: Simplify right side
    127,282x = 29,852,582,841
  5. Step 5: Solve for x
    x = 29,852,582,841/127,282
  6. Step 6: Final answer
    x = 234,538.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.