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Finding the Third Proportional to 71,328 and 152,532

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Solution

The third proportional to 71,328 and 152,532 is: 326,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,328 : 152,532 = 152,532 : x
  2. Step 2: Convert to fraction form
    71,328/152,532 = 152,532/x
  3. Step 3: Cross multiply
    71,328x = 152,532 × 152,532
  4. Step 4: Simplify right side
    71,328x = 23,266,011,024
  5. Step 5: Solve for x
    x = 23,266,011,024/71,328
  6. Step 6: Final answer
    x = 326,183.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.