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Finding the Third Proportional to 56,034 and 86,757

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Solution

The third proportional to 56,034 and 86,757 is: 134,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,034 : 86,757 = 86,757 : x
  2. Step 2: Convert to fraction form
    56,034/86,757 = 86,757/x
  3. Step 3: Cross multiply
    56,034x = 86,757 × 86,757
  4. Step 4: Simplify right side
    56,034x = 7,526,777,049
  5. Step 5: Solve for x
    x = 7,526,777,049/56,034
  6. Step 6: Final answer
    x = 134,325.18

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Why These Related Problems?

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