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Finding the Third Proportional to 107,088.75 and 155,614.50

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Solution

The third proportional to 107,088.75 and 155,614.50 is: 226,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,088.75 : 155,614.50 = 155,614.50 : x
  2. Step 2: Convert to fraction form
    107,088.75/155,614.50 = 155,614.50/x
  3. Step 3: Cross multiply
    107,088.75x = 155,614.50 × 155,614.50
  4. Step 4: Simplify right side
    107,088.75x = 24,215,872,610.25
  5. Step 5: Solve for x
    x = 24,215,872,610.25/107,088.75
  6. Step 6: Final answer
    x = 226,129.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.