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Finding the Third Proportional to 70,472 and 152,272

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Solution

The third proportional to 70,472 and 152,272 is: 329,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472 : 152,272 = 152,272 : x
  2. Step 2: Convert to fraction form
    70,472/152,272 = 152,272/x
  3. Step 3: Cross multiply
    70,472x = 152,272 × 152,272
  4. Step 4: Simplify right side
    70,472x = 23,186,761,984
  5. Step 5: Solve for x
    x = 23,186,761,984/70,472
  6. Step 6: Final answer
    x = 329,020.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.