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Finding the Third Proportional to 62,154 and 96,865.88

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Solution

The third proportional to 62,154 and 96,865.88 is: 150,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,154 : 96,865.88 = 96,865.88 : x
  2. Step 2: Convert to fraction form
    62,154/96,865.88 = 96,865.88/x
  3. Step 3: Cross multiply
    62,154x = 96,865.88 × 96,865.88
  4. Step 4: Simplify right side
    62,154x = 9,382,997,739.52
  5. Step 5: Solve for x
    x = 9,382,997,739.52/62,154
  6. Step 6: Final answer
    x = 150,963.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.