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Finding the Third Proportional to 70,755 and 152,574

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Solution

The third proportional to 70,755 and 152,574 is: 329,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,755 : 152,574 = 152,574 : x
  2. Step 2: Convert to fraction form
    70,755/152,574 = 152,574/x
  3. Step 3: Cross multiply
    70,755x = 152,574 × 152,574
  4. Step 4: Simplify right side
    70,755x = 23,278,825,476
  5. Step 5: Solve for x
    x = 23,278,825,476/70,755
  6. Step 6: Final answer
    x = 329,006.08

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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.