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Finding the Third Proportional to 75,320.72 and 103,281.33

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Solution

The third proportional to 75,320.72 and 103,281.33 is: 141,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,320.72 : 103,281.33 = 103,281.33 : x
  2. Step 2: Convert to fraction form
    75,320.72/103,281.33 = 103,281.33/x
  3. Step 3: Cross multiply
    75,320.72x = 103,281.33 × 103,281.33
  4. Step 4: Simplify right side
    75,320.72x = 10,667,032,739.26
  5. Step 5: Solve for x
    x = 10,667,032,739.26/75,320.72
  6. Step 6: Final answer
    x = 141,621.49

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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.