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Finding the Third Proportional to 61,454.81 and 96,508.13

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Solution

The third proportional to 61,454.81 and 96,508.13 is: 151,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,454.81 : 96,508.13 = 96,508.13 : x
  2. Step 2: Convert to fraction form
    61,454.81/96,508.13 = 96,508.13/x
  3. Step 3: Cross multiply
    61,454.81x = 96,508.13 × 96,508.13
  4. Step 4: Simplify right side
    61,454.81x = 9,313,818,191.02
  5. Step 5: Solve for x
    x = 9,313,818,191.02/61,454.81
  6. Step 6: Final answer
    x = 151,555.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.