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Finding the Third Proportional to 62,626.50 and 97,122.38

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Solution

The third proportional to 62,626.50 and 97,122.38 is: 150,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,626.50 : 97,122.38 = 97,122.38 : x
  2. Step 2: Convert to fraction form
    62,626.50/97,122.38 = 97,122.38/x
  3. Step 3: Cross multiply
    62,626.50x = 97,122.38 × 97,122.38
  4. Step 4: Simplify right side
    62,626.50x = 9,432,755,725.64
  5. Step 5: Solve for x
    x = 9,432,755,725.64/62,626.50
  6. Step 6: Final answer
    x = 150,619.24

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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.