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Finding the Third Proportional to 42,712 and 98,314

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Solution

The third proportional to 42,712 and 98,314 is: 226,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712 : 98,314 = 98,314 : x
  2. Step 2: Convert to fraction form
    42,712/98,314 = 98,314/x
  3. Step 3: Cross multiply
    42,712x = 98,314 × 98,314
  4. Step 4: Simplify right side
    42,712x = 9,665,642,596
  5. Step 5: Solve for x
    x = 9,665,642,596/42,712
  6. Step 6: Final answer
    x = 226,298.06

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.