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Finding the Third Proportional to 56,266.52 and 86,739.61

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Solution

The third proportional to 56,266.52 and 86,739.61 is: 133,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,266.52 : 86,739.61 = 86,739.61 : x
  2. Step 2: Convert to fraction form
    56,266.52/86,739.61 = 86,739.61/x
  3. Step 3: Cross multiply
    56,266.52x = 86,739.61 × 86,739.61
  4. Step 4: Simplify right side
    56,266.52x = 7,523,759,834.53
  5. Step 5: Solve for x
    x = 7,523,759,834.53/56,266.52
  6. Step 6: Final answer
    x = 133,716.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.