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Finding the Third Proportional to 103,839.79 and 155,586.68

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Solution

The third proportional to 103,839.79 and 155,586.68 is: 233,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,839.79 : 155,586.68 = 155,586.68 : x
  2. Step 2: Convert to fraction form
    103,839.79/155,586.68 = 155,586.68/x
  3. Step 3: Cross multiply
    103,839.79x = 155,586.68 × 155,586.68
  4. Step 4: Simplify right side
    103,839.79x = 24,207,215,807.82
  5. Step 5: Solve for x
    x = 24,207,215,807.82/103,839.79
  6. Step 6: Final answer
    x = 233,120.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.