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Finding the Third Proportional to 55,356 and 120,020

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Solution

The third proportional to 55,356 and 120,020 is: 260,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,356 : 120,020 = 120,020 : x
  2. Step 2: Convert to fraction form
    55,356/120,020 = 120,020/x
  3. Step 3: Cross multiply
    55,356x = 120,020 × 120,020
  4. Step 4: Simplify right side
    55,356x = 14,404,800,400
  5. Step 5: Solve for x
    x = 14,404,800,400/55,356
  6. Step 6: Final answer
    x = 260,221.12

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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.