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Finding the Third Proportional to 55,858 and 117,461

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Solution

The third proportional to 55,858 and 117,461 is: 247,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,858 : 117,461 = 117,461 : x
  2. Step 2: Convert to fraction form
    55,858/117,461 = 117,461/x
  3. Step 3: Cross multiply
    55,858x = 117,461 × 117,461
  4. Step 4: Simplify right side
    55,858x = 13,797,086,521
  5. Step 5: Solve for x
    x = 13,797,086,521/55,858
  6. Step 6: Final answer
    x = 247,002.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.