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Finding the Third Proportional to 64,000.13 and 136,171.13

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Solution

The third proportional to 64,000.13 and 136,171.13 is: 289,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.13 : 136,171.13 = 136,171.13 : x
  2. Step 2: Convert to fraction form
    64,000.13/136,171.13 = 136,171.13/x
  3. Step 3: Cross multiply
    64,000.13x = 136,171.13 × 136,171.13
  4. Step 4: Simplify right side
    64,000.13x = 18,542,575,283.77
  5. Step 5: Solve for x
    x = 18,542,575,283.77/64,000.13
  6. Step 6: Final answer
    x = 289,727.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.