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Finding the Third Proportional to 127,337 and 172,321

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Solution

The third proportional to 127,337 and 172,321 is: 233,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,337 : 172,321 = 172,321 : x
  2. Step 2: Convert to fraction form
    127,337/172,321 = 172,321/x
  3. Step 3: Cross multiply
    127,337x = 172,321 × 172,321
  4. Step 4: Simplify right side
    127,337x = 29,694,527,041
  5. Step 5: Solve for x
    x = 29,694,527,041/127,337
  6. Step 6: Final answer
    x = 233,196.38

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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.