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Finding the Third Proportional to 70,632 and 152,467

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Solution

The third proportional to 70,632 and 152,467 is: 329,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,632 : 152,467 = 152,467 : x
  2. Step 2: Convert to fraction form
    70,632/152,467 = 152,467/x
  3. Step 3: Cross multiply
    70,632x = 152,467 × 152,467
  4. Step 4: Simplify right side
    70,632x = 23,246,186,089
  5. Step 5: Solve for x
    x = 23,246,186,089/70,632
  6. Step 6: Final answer
    x = 329,116.92

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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.