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Finding the Third Proportional to 57,466 and 119,846

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Solution

The third proportional to 57,466 and 119,846 is: 249,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,466 : 119,846 = 119,846 : x
  2. Step 2: Convert to fraction form
    57,466/119,846 = 119,846/x
  3. Step 3: Cross multiply
    57,466x = 119,846 × 119,846
  4. Step 4: Simplify right side
    57,466x = 14,363,063,716
  5. Step 5: Solve for x
    x = 14,363,063,716/57,466
  6. Step 6: Final answer
    x = 249,940.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.