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Finding the Third Proportional to 103,816.13 and 155,724.75

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Solution

The third proportional to 103,816.13 and 155,724.75 is: 233,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,816.13 : 155,724.75 = 155,724.75 : x
  2. Step 2: Convert to fraction form
    103,816.13/155,724.75 = 155,724.75/x
  3. Step 3: Cross multiply
    103,816.13x = 155,724.75 × 155,724.75
  4. Step 4: Simplify right side
    103,816.13x = 24,250,197,762.56
  5. Step 5: Solve for x
    x = 24,250,197,762.56/103,816.13
  6. Step 6: Final answer
    x = 233,587.97

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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.