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Finding the Third Proportional to 75,246.75 and 103,182.19

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Solution

The third proportional to 75,246.75 and 103,182.19 is: 141,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246.75 : 103,182.19 = 103,182.19 : x
  2. Step 2: Convert to fraction form
    75,246.75/103,182.19 = 103,182.19/x
  3. Step 3: Cross multiply
    75,246.75x = 103,182.19 × 103,182.19
  4. Step 4: Simplify right side
    75,246.75x = 10,646,563,817.29
  5. Step 5: Solve for x
    x = 10,646,563,817.29/75,246.75
  6. Step 6: Final answer
    x = 141,488.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.