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Finding the Third Proportional to 70,872 and 96,294

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Solution

The third proportional to 70,872 and 96,294 is: 130,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872 : 96,294 = 96,294 : x
  2. Step 2: Convert to fraction form
    70,872/96,294 = 96,294/x
  3. Step 3: Cross multiply
    70,872x = 96,294 × 96,294
  4. Step 4: Simplify right side
    70,872x = 9,272,534,436
  5. Step 5: Solve for x
    x = 9,272,534,436/70,872
  6. Step 6: Final answer
    x = 130,834.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.