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Finding the Third Proportional to 70,750 and 152,552

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Solution

The third proportional to 70,750 and 152,552 is: 328,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,750 : 152,552 = 152,552 : x
  2. Step 2: Convert to fraction form
    70,750/152,552 = 152,552/x
  3. Step 3: Cross multiply
    70,750x = 152,552 × 152,552
  4. Step 4: Simplify right side
    70,750x = 23,272,112,704
  5. Step 5: Solve for x
    x = 23,272,112,704/70,750
  6. Step 6: Final answer
    x = 328,934.46

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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.