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Finding the Third Proportional to 54,565 and 84,099

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Solution

The third proportional to 54,565 and 84,099 is: 129,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,565 : 84,099 = 84,099 : x
  2. Step 2: Convert to fraction form
    54,565/84,099 = 84,099/x
  3. Step 3: Cross multiply
    54,565x = 84,099 × 84,099
  4. Step 4: Simplify right side
    54,565x = 7,072,641,801
  5. Step 5: Solve for x
    x = 7,072,641,801/54,565
  6. Step 6: Final answer
    x = 129,618.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.