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Finding the Third Proportional to 55,624 and 115,850

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Solution

The third proportional to 55,624 and 115,850 is: 241,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,624 : 115,850 = 115,850 : x
  2. Step 2: Convert to fraction form
    55,624/115,850 = 115,850/x
  3. Step 3: Cross multiply
    55,624x = 115,850 × 115,850
  4. Step 4: Simplify right side
    55,624x = 13,421,222,500
  5. Step 5: Solve for x
    x = 13,421,222,500/55,624
  6. Step 6: Final answer
    x = 241,284.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.