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Finding the Third Proportional to 70,730 and 152,530

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Solution

The third proportional to 70,730 and 152,530 is: 328,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,730 : 152,530 = 152,530 : x
  2. Step 2: Convert to fraction form
    70,730/152,530 = 152,530/x
  3. Step 3: Cross multiply
    70,730x = 152,530 × 152,530
  4. Step 4: Simplify right side
    70,730x = 23,265,400,900
  5. Step 5: Solve for x
    x = 23,265,400,900/70,730
  6. Step 6: Final answer
    x = 328,932.57

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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.