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Finding the Third Proportional to 75,412.50 and 112,092

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Solution

The third proportional to 75,412.50 and 112,092 is: 166,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,412.50 : 112,092 = 112,092 : x
  2. Step 2: Convert to fraction form
    75,412.50/112,092 = 112,092/x
  3. Step 3: Cross multiply
    75,412.50x = 112,092 × 112,092
  4. Step 4: Simplify right side
    75,412.50x = 12,564,616,464
  5. Step 5: Solve for x
    x = 12,564,616,464/75,412.50
  6. Step 6: Final answer
    x = 166,611.85

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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.