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Finding the Third Proportional to 75,711.75 and 117,562.50

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Solution

The third proportional to 75,711.75 and 117,562.50 is: 182,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711.75 : 117,562.50 = 117,562.50 : x
  2. Step 2: Convert to fraction form
    75,711.75/117,562.50 = 117,562.50/x
  3. Step 3: Cross multiply
    75,711.75x = 117,562.50 × 117,562.50
  4. Step 4: Simplify right side
    75,711.75x = 13,820,941,406.25
  5. Step 5: Solve for x
    x = 13,820,941,406.25/75,711.75
  6. Step 6: Final answer
    x = 182,546.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.