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Finding the Third Proportional to 127,987 and 172,298

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Solution

The third proportional to 127,987 and 172,298 is: 231,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,987 : 172,298 = 172,298 : x
  2. Step 2: Convert to fraction form
    127,987/172,298 = 172,298/x
  3. Step 3: Cross multiply
    127,987x = 172,298 × 172,298
  4. Step 4: Simplify right side
    127,987x = 29,686,600,804
  5. Step 5: Solve for x
    x = 29,686,600,804/127,987
  6. Step 6: Final answer
    x = 231,950.13

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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.