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Finding the Third Proportional to 55,624 and 84,814

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Solution

The third proportional to 55,624 and 84,814 is: 129,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,624 : 84,814 = 84,814 : x
  2. Step 2: Convert to fraction form
    55,624/84,814 = 84,814/x
  3. Step 3: Cross multiply
    55,624x = 84,814 × 84,814
  4. Step 4: Simplify right side
    55,624x = 7,193,414,596
  5. Step 5: Solve for x
    x = 7,193,414,596/55,624
  6. Step 6: Final answer
    x = 129,322.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.