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Finding the Third Proportional to 67,651.50 and 96,160.50

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Solution

The third proportional to 67,651.50 and 96,160.50 is: 136,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,651.50 : 96,160.50 = 96,160.50 : x
  2. Step 2: Convert to fraction form
    67,651.50/96,160.50 = 96,160.50/x
  3. Step 3: Cross multiply
    67,651.50x = 96,160.50 × 96,160.50
  4. Step 4: Simplify right side
    67,651.50x = 9,246,841,760.25
  5. Step 5: Solve for x
    x = 9,246,841,760.25/67,651.50
  6. Step 6: Final answer
    x = 136,683.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.