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Finding the Third Proportional to 54,506 and 82,029

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Solution

The third proportional to 54,506 and 82,029 is: 123,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,506 : 82,029 = 82,029 : x
  2. Step 2: Convert to fraction form
    54,506/82,029 = 82,029/x
  3. Step 3: Cross multiply
    54,506x = 82,029 × 82,029
  4. Step 4: Simplify right side
    54,506x = 6,728,756,841
  5. Step 5: Solve for x
    x = 6,728,756,841/54,506
  6. Step 6: Final answer
    x = 123,449.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.