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Finding the Third Proportional to 52,199 and 84,045

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Solution

The third proportional to 52,199 and 84,045 is: 135,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,199 : 84,045 = 84,045 : x
  2. Step 2: Convert to fraction form
    52,199/84,045 = 84,045/x
  3. Step 3: Cross multiply
    52,199x = 84,045 × 84,045
  4. Step 4: Simplify right side
    52,199x = 7,063,562,025
  5. Step 5: Solve for x
    x = 7,063,562,025/52,199
  6. Step 6: Final answer
    x = 135,319.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.