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Finding the Third Proportional to 116,142 and 251,292

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Solution

The third proportional to 116,142 and 251,292 is: 543,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,142 : 251,292 = 251,292 : x
  2. Step 2: Convert to fraction form
    116,142/251,292 = 251,292/x
  3. Step 3: Cross multiply
    116,142x = 251,292 × 251,292
  4. Step 4: Simplify right side
    116,142x = 63,147,669,264
  5. Step 5: Solve for x
    x = 63,147,669,264/116,142
  6. Step 6: Final answer
    x = 543,710.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.