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Finding the Third Proportional to 55,542 and 117,705

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Solution

The third proportional to 55,542 and 117,705 is: 249,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,542 : 117,705 = 117,705 : x
  2. Step 2: Convert to fraction form
    55,542/117,705 = 117,705/x
  3. Step 3: Cross multiply
    55,542x = 117,705 × 117,705
  4. Step 4: Simplify right side
    55,542x = 13,854,467,025
  5. Step 5: Solve for x
    x = 13,854,467,025/55,542
  6. Step 6: Final answer
    x = 249,441.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.