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Finding the Third Proportional to 62,307 and 132,403.50

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Solution

The third proportional to 62,307 and 132,403.50 is: 281,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,307 : 132,403.50 = 132,403.50 : x
  2. Step 2: Convert to fraction form
    62,307/132,403.50 = 132,403.50/x
  3. Step 3: Cross multiply
    62,307x = 132,403.50 × 132,403.50
  4. Step 4: Simplify right side
    62,307x = 17,530,686,812.25
  5. Step 5: Solve for x
    x = 17,530,686,812.25/62,307
  6. Step 6: Final answer
    x = 281,359.83

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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.