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Finding the Third Proportional to 71,374 and 96,141

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Solution

The third proportional to 71,374 and 96,141 is: 129,502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,374 : 96,141 = 96,141 : x
  2. Step 2: Convert to fraction form
    71,374/96,141 = 96,141/x
  3. Step 3: Cross multiply
    71,374x = 96,141 × 96,141
  4. Step 4: Simplify right side
    71,374x = 9,243,091,881
  5. Step 5: Solve for x
    x = 9,243,091,881/71,374
  6. Step 6: Final answer
    x = 129,502.23

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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.