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Finding the Third Proportional to 66,234 and 141,937.50

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Solution

The third proportional to 66,234 and 141,937.50 is: 304,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,234 : 141,937.50 = 141,937.50 : x
  2. Step 2: Convert to fraction form
    66,234/141,937.50 = 141,937.50/x
  3. Step 3: Cross multiply
    66,234x = 141,937.50 × 141,937.50
  4. Step 4: Simplify right side
    66,234x = 20,146,253,906.25
  5. Step 5: Solve for x
    x = 20,146,253,906.25/66,234
  6. Step 6: Final answer
    x = 304,167.86

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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.