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Finding the Third Proportional to 55,209 and 85,645

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Solution

The third proportional to 55,209 and 85,645 is: 132,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,209 : 85,645 = 85,645 : x
  2. Step 2: Convert to fraction form
    55,209/85,645 = 85,645/x
  3. Step 3: Cross multiply
    55,209x = 85,645 × 85,645
  4. Step 4: Simplify right side
    55,209x = 7,335,066,025
  5. Step 5: Solve for x
    x = 7,335,066,025/55,209
  6. Step 6: Final answer
    x = 132,859.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.