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Finding the Third Proportional to 75,140.75 and 112,475.25

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Solution

The third proportional to 75,140.75 and 112,475.25 is: 168,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,140.75 : 112,475.25 = 112,475.25 : x
  2. Step 2: Convert to fraction form
    75,140.75/112,475.25 = 112,475.25/x
  3. Step 3: Cross multiply
    75,140.75x = 112,475.25 × 112,475.25
  4. Step 4: Simplify right side
    75,140.75x = 12,650,681,862.56
  5. Step 5: Solve for x
    x = 12,650,681,862.56/75,140.75
  6. Step 6: Final answer
    x = 168,359.80

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