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Finding the Third Proportional to 56,013 and 86,729

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Solution

The third proportional to 56,013 and 86,729 is: 134,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,013 : 86,729 = 86,729 : x
  2. Step 2: Convert to fraction form
    56,013/86,729 = 86,729/x
  3. Step 3: Cross multiply
    56,013x = 86,729 × 86,729
  4. Step 4: Simplify right side
    56,013x = 7,521,919,441
  5. Step 5: Solve for x
    x = 7,521,919,441/56,013
  6. Step 6: Final answer
    x = 134,288.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.