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Finding the Third Proportional to 53,658 and 116,542

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Solution

The third proportional to 53,658 and 116,542 is: 253,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658 : 116,542 = 116,542 : x
  2. Step 2: Convert to fraction form
    53,658/116,542 = 116,542/x
  3. Step 3: Cross multiply
    53,658x = 116,542 × 116,542
  4. Step 4: Simplify right side
    53,658x = 13,582,037,764
  5. Step 5: Solve for x
    x = 13,582,037,764/53,658
  6. Step 6: Final answer
    x = 253,122.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.