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Finding the Third Proportional to 78,414.88 and 124,616.13

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Solution

The third proportional to 78,414.88 and 124,616.13 is: 198,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414.88 : 124,616.13 = 124,616.13 : x
  2. Step 2: Convert to fraction form
    78,414.88/124,616.13 = 124,616.13/x
  3. Step 3: Cross multiply
    78,414.88x = 124,616.13 × 124,616.13
  4. Step 4: Simplify right side
    78,414.88x = 15,529,178,610.02
  5. Step 5: Solve for x
    x = 15,529,178,610.02/78,414.88
  6. Step 6: Final answer
    x = 198,038.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.