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Finding the Third Proportional to 55,862 and 119,722

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Solution

The third proportional to 55,862 and 119,722 is: 256,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,862 : 119,722 = 119,722 : x
  2. Step 2: Convert to fraction form
    55,862/119,722 = 119,722/x
  3. Step 3: Cross multiply
    55,862x = 119,722 × 119,722
  4. Step 4: Simplify right side
    55,862x = 14,333,357,284
  5. Step 5: Solve for x
    x = 14,333,357,284/55,862
  6. Step 6: Final answer
    x = 256,585.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.