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Finding the Third Proportional to 62,650.13 and 96,942.66

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Solution

The third proportional to 62,650.13 and 96,942.66 is: 150,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,650.13 : 96,942.66 = 96,942.66 : x
  2. Step 2: Convert to fraction form
    62,650.13/96,942.66 = 96,942.66/x
  3. Step 3: Cross multiply
    62,650.13x = 96,942.66 × 96,942.66
  4. Step 4: Simplify right side
    62,650.13x = 9,397,878,600.81
  5. Step 5: Solve for x
    x = 9,397,878,600.81/62,650.13
  6. Step 6: Final answer
    x = 150,005.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.