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Finding the Third Proportional to 62,724 and 135,671

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Solution

The third proportional to 62,724 and 135,671 is: 293,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,724 : 135,671 = 135,671 : x
  2. Step 2: Convert to fraction form
    62,724/135,671 = 135,671/x
  3. Step 3: Cross multiply
    62,724x = 135,671 × 135,671
  4. Step 4: Simplify right side
    62,724x = 18,406,620,241
  5. Step 5: Solve for x
    x = 18,406,620,241/62,724
  6. Step 6: Final answer
    x = 293,454.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.