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Finding the Third Proportional to 65,651.63 and 98,452.69

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Solution

The third proportional to 65,651.63 and 98,452.69 is: 147,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,651.63 : 98,452.69 = 98,452.69 : x
  2. Step 2: Convert to fraction form
    65,651.63/98,452.69 = 98,452.69/x
  3. Step 3: Cross multiply
    65,651.63x = 98,452.69 × 98,452.69
  4. Step 4: Simplify right side
    65,651.63x = 9,692,931,675.97
  5. Step 5: Solve for x
    x = 9,692,931,675.97/65,651.63
  6. Step 6: Final answer
    x = 147,641.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.