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Finding the Third Proportional to 71,300 and 152,156

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Solution

The third proportional to 71,300 and 152,156 is: 324,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,300 : 152,156 = 152,156 : x
  2. Step 2: Convert to fraction form
    71,300/152,156 = 152,156/x
  3. Step 3: Cross multiply
    71,300x = 152,156 × 152,156
  4. Step 4: Simplify right side
    71,300x = 23,151,448,336
  5. Step 5: Solve for x
    x = 23,151,448,336/71,300
  6. Step 6: Final answer
    x = 324,704.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.