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Finding the Third Proportional to 65,451.38 and 98,723.81

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Solution

The third proportional to 65,451.38 and 98,723.81 is: 148,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,451.38 : 98,723.81 = 98,723.81 : x
  2. Step 2: Convert to fraction form
    65,451.38/98,723.81 = 98,723.81/x
  3. Step 3: Cross multiply
    65,451.38x = 98,723.81 × 98,723.81
  4. Step 4: Simplify right side
    65,451.38x = 9,746,391,154.54
  5. Step 5: Solve for x
    x = 9,746,391,154.54/65,451.38
  6. Step 6: Final answer
    x = 148,910.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.