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Finding the Third Proportional to 71,317 and 152,754

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Solution

The third proportional to 71,317 and 152,754 is: 327,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317 : 152,754 = 152,754 : x
  2. Step 2: Convert to fraction form
    71,317/152,754 = 152,754/x
  3. Step 3: Cross multiply
    71,317x = 152,754 × 152,754
  4. Step 4: Simplify right side
    71,317x = 23,333,784,516
  5. Step 5: Solve for x
    x = 23,333,784,516/71,317
  6. Step 6: Final answer
    x = 327,184.04

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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.