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Finding the Third Proportional to 55,539 and 120,306.94

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Solution

The third proportional to 55,539 and 120,306.94 is: 260,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,539 : 120,306.94 = 120,306.94 : x
  2. Step 2: Convert to fraction form
    55,539/120,306.94 = 120,306.94/x
  3. Step 3: Cross multiply
    55,539x = 120,306.94 × 120,306.94
  4. Step 4: Simplify right side
    55,539x = 14,473,759,210.63
  5. Step 5: Solve for x
    x = 14,473,759,210.63/55,539
  6. Step 6: Final answer
    x = 260,605.33

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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.