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Finding the Third Proportional to 87,544.13 and 136,783.69

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Solution

The third proportional to 87,544.13 and 136,783.69 is: 213,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,544.13 : 136,783.69 = 136,783.69 : x
  2. Step 2: Convert to fraction form
    87,544.13/136,783.69 = 136,783.69/x
  3. Step 3: Cross multiply
    87,544.13x = 136,783.69 × 136,783.69
  4. Step 4: Simplify right side
    87,544.13x = 18,709,777,166.10
  5. Step 5: Solve for x
    x = 18,709,777,166.10/87,544.13
  6. Step 6: Final answer
    x = 213,718.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.