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Finding the Third Proportional to 63,615 and 100,716

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Solution

The third proportional to 63,615 and 100,716 is: 159,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,615 : 100,716 = 100,716 : x
  2. Step 2: Convert to fraction form
    63,615/100,716 = 100,716/x
  3. Step 3: Cross multiply
    63,615x = 100,716 × 100,716
  4. Step 4: Simplify right side
    63,615x = 10,143,712,656
  5. Step 5: Solve for x
    x = 10,143,712,656/63,615
  6. Step 6: Final answer
    x = 159,454.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.