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Finding the Third Proportional to 42,141 and 97,312

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Solution

The third proportional to 42,141 and 97,312 is: 224,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,141 : 97,312 = 97,312 : x
  2. Step 2: Convert to fraction form
    42,141/97,312 = 97,312/x
  3. Step 3: Cross multiply
    42,141x = 97,312 × 97,312
  4. Step 4: Simplify right side
    42,141x = 9,469,625,344
  5. Step 5: Solve for x
    x = 9,469,625,344/42,141
  6. Step 6: Final answer
    x = 224,712.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.