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Finding the Third Proportional to 71,101 and 152,570

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Solution

The third proportional to 71,101 and 152,570 is: 327,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,101 : 152,570 = 152,570 : x
  2. Step 2: Convert to fraction form
    71,101/152,570 = 152,570/x
  3. Step 3: Cross multiply
    71,101x = 152,570 × 152,570
  4. Step 4: Simplify right side
    71,101x = 23,277,604,900
  5. Step 5: Solve for x
    x = 23,277,604,900/71,101
  6. Step 6: Final answer
    x = 327,387.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.