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Finding the Third Proportional to 127,344 and 172,332

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Solution

The third proportional to 127,344 and 172,332 is: 233,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,344 : 172,332 = 172,332 : x
  2. Step 2: Convert to fraction form
    127,344/172,332 = 172,332/x
  3. Step 3: Cross multiply
    127,344x = 172,332 × 172,332
  4. Step 4: Simplify right side
    127,344x = 29,698,318,224
  5. Step 5: Solve for x
    x = 29,698,318,224/127,344
  6. Step 6: Final answer
    x = 233,213.33

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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.