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Finding the Third Proportional to 71,829 and 153,432

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Solution

The third proportional to 71,829 and 153,432 is: 327,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,829 : 153,432 = 153,432 : x
  2. Step 2: Convert to fraction form
    71,829/153,432 = 153,432/x
  3. Step 3: Cross multiply
    71,829x = 153,432 × 153,432
  4. Step 4: Simplify right side
    71,829x = 23,541,378,624
  5. Step 5: Solve for x
    x = 23,541,378,624/71,829
  6. Step 6: Final answer
    x = 327,741.98

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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.