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Finding the Third Proportional to 75,366 and 107,124.75

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Solution

The third proportional to 75,366 and 107,124.75 is: 152,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,366 : 107,124.75 = 107,124.75 : x
  2. Step 2: Convert to fraction form
    75,366/107,124.75 = 107,124.75/x
  3. Step 3: Cross multiply
    75,366x = 107,124.75 × 107,124.75
  4. Step 4: Simplify right side
    75,366x = 11,475,712,062.56
  5. Step 5: Solve for x
    x = 11,475,712,062.56/75,366
  6. Step 6: Final answer
    x = 152,266.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.