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Finding the Third Proportional to 64,648.13 and 86,280.19

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Solution

The third proportional to 64,648.13 and 86,280.19 is: 115,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,648.13 : 86,280.19 = 86,280.19 : x
  2. Step 2: Convert to fraction form
    64,648.13/86,280.19 = 86,280.19/x
  3. Step 3: Cross multiply
    64,648.13x = 86,280.19 × 86,280.19
  4. Step 4: Simplify right side
    64,648.13x = 7,444,270,755.04
  5. Step 5: Solve for x
    x = 7,444,270,755.04/64,648.13
  6. Step 6: Final answer
    x = 115,150.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.