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Finding the Third Proportional to 84,254 and 129,189

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Solution

The third proportional to 84,254 and 129,189 is: 198,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,254 : 129,189 = 129,189 : x
  2. Step 2: Convert to fraction form
    84,254/129,189 = 129,189/x
  3. Step 3: Cross multiply
    84,254x = 129,189 × 129,189
  4. Step 4: Simplify right side
    84,254x = 16,689,797,721
  5. Step 5: Solve for x
    x = 16,689,797,721/84,254
  6. Step 6: Final answer
    x = 198,089.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.