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Finding the Third Proportional to 64,847.25 and 96,859.13

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Solution

The third proportional to 64,847.25 and 96,859.13 is: 144,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,847.25 : 96,859.13 = 96,859.13 : x
  2. Step 2: Convert to fraction form
    64,847.25/96,859.13 = 96,859.13/x
  3. Step 3: Cross multiply
    64,847.25x = 96,859.13 × 96,859.13
  4. Step 4: Simplify right side
    64,847.25x = 9,381,690,095.77
  5. Step 5: Solve for x
    x = 9,381,690,095.77/64,847.25
  6. Step 6: Final answer
    x = 144,673.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.