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Finding the Third Proportional to 127,342 and 172,328

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Solution

The third proportional to 127,342 and 172,328 is: 233,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,342 : 172,328 = 172,328 : x
  2. Step 2: Convert to fraction form
    127,342/172,328 = 172,328/x
  3. Step 3: Cross multiply
    127,342x = 172,328 × 172,328
  4. Step 4: Simplify right side
    127,342x = 29,696,939,584
  5. Step 5: Solve for x
    x = 29,696,939,584/127,342
  6. Step 6: Final answer
    x = 233,206.17

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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.