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Finding the Third Proportional to 70,727 and 152,524

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Solution

The third proportional to 70,727 and 152,524 is: 328,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,727 : 152,524 = 152,524 : x
  2. Step 2: Convert to fraction form
    70,727/152,524 = 152,524/x
  3. Step 3: Cross multiply
    70,727x = 152,524 × 152,524
  4. Step 4: Simplify right side
    70,727x = 23,263,570,576
  5. Step 5: Solve for x
    x = 23,263,570,576/70,727
  6. Step 6: Final answer
    x = 328,920.65

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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.