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Finding the Third Proportional to 54,034 and 86,817

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Solution

The third proportional to 54,034 and 86,817 is: 139,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,034 : 86,817 = 86,817 : x
  2. Step 2: Convert to fraction form
    54,034/86,817 = 86,817/x
  3. Step 3: Cross multiply
    54,034x = 86,817 × 86,817
  4. Step 4: Simplify right side
    54,034x = 7,537,191,489
  5. Step 5: Solve for x
    x = 7,537,191,489/54,034
  6. Step 6: Final answer
    x = 139,489.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.