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Finding the Third Proportional to 56,143.13 and 82,571.91

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Solution

The third proportional to 56,143.13 and 82,571.91 is: 121,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.13 : 82,571.91 = 82,571.91 : x
  2. Step 2: Convert to fraction form
    56,143.13/82,571.91 = 82,571.91/x
  3. Step 3: Cross multiply
    56,143.13x = 82,571.91 × 82,571.91
  4. Step 4: Simplify right side
    56,143.13x = 6,818,119,701.76
  5. Step 5: Solve for x
    x = 6,818,119,701.76/56,143.13
  6. Step 6: Final answer
    x = 121,441.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.