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Finding the Third Proportional to 75,562 and 112,287

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Solution

The third proportional to 75,562 and 112,287 is: 166,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,562 : 112,287 = 112,287 : x
  2. Step 2: Convert to fraction form
    75,562/112,287 = 112,287/x
  3. Step 3: Cross multiply
    75,562x = 112,287 × 112,287
  4. Step 4: Simplify right side
    75,562x = 12,608,370,369
  5. Step 5: Solve for x
    x = 12,608,370,369/75,562
  6. Step 6: Final answer
    x = 166,861.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.