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Finding the Third Proportional to 68,543.72 and 102,244.78

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Solution

The third proportional to 68,543.72 and 102,244.78 is: 152,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,543.72 : 102,244.78 = 102,244.78 : x
  2. Step 2: Convert to fraction form
    68,543.72/102,244.78 = 102,244.78/x
  3. Step 3: Cross multiply
    68,543.72x = 102,244.78 × 102,244.78
  4. Step 4: Simplify right side
    68,543.72x = 10,453,995,292.86
  5. Step 5: Solve for x
    x = 10,453,995,292.86/68,543.72
  6. Step 6: Final answer
    x = 152,515.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.