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Finding the Third Proportional to 84,850 and 144,891

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Solution

The third proportional to 84,850 and 144,891 is: 247,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,850 : 144,891 = 144,891 : x
  2. Step 2: Convert to fraction form
    84,850/144,891 = 144,891/x
  3. Step 3: Cross multiply
    84,850x = 144,891 × 144,891
  4. Step 4: Simplify right side
    84,850x = 20,993,401,881
  5. Step 5: Solve for x
    x = 20,993,401,881/84,850
  6. Step 6: Final answer
    x = 247,417.82

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.