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Finding the Third Proportional to 71,234 and 152,350

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Solution

The third proportional to 71,234 and 152,350 is: 325,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,234 : 152,350 = 152,350 : x
  2. Step 2: Convert to fraction form
    71,234/152,350 = 152,350/x
  3. Step 3: Cross multiply
    71,234x = 152,350 × 152,350
  4. Step 4: Simplify right side
    71,234x = 23,210,522,500
  5. Step 5: Solve for x
    x = 23,210,522,500/71,234
  6. Step 6: Final answer
    x = 325,834.89

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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.