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Finding the Third Proportional to 55,506 and 119,874

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Solution

The third proportional to 55,506 and 119,874 is: 258,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506 : 119,874 = 119,874 : x
  2. Step 2: Convert to fraction form
    55,506/119,874 = 119,874/x
  3. Step 3: Cross multiply
    55,506x = 119,874 × 119,874
  4. Step 4: Simplify right side
    55,506x = 14,369,775,876
  5. Step 5: Solve for x
    x = 14,369,775,876/55,506
  6. Step 6: Final answer
    x = 258,886.89

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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.