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Finding the Third Proportional to 75,876.75 and 110,899.13

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Solution

The third proportional to 75,876.75 and 110,899.13 is: 162,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,876.75 : 110,899.13 = 110,899.13 : x
  2. Step 2: Convert to fraction form
    75,876.75/110,899.13 = 110,899.13/x
  3. Step 3: Cross multiply
    75,876.75x = 110,899.13 × 110,899.13
  4. Step 4: Simplify right side
    75,876.75x = 12,298,615,925.77
  5. Step 5: Solve for x
    x = 12,298,615,925.77/75,876.75
  6. Step 6: Final answer
    x = 162,086.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.