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Finding the Third Proportional to 124,124 and 191,802

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Solution

The third proportional to 124,124 and 191,802 is: 296,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,124 : 191,802 = 191,802 : x
  2. Step 2: Convert to fraction form
    124,124/191,802 = 191,802/x
  3. Step 3: Cross multiply
    124,124x = 191,802 × 191,802
  4. Step 4: Simplify right side
    124,124x = 36,788,007,204
  5. Step 5: Solve for x
    x = 36,788,007,204/124,124
  6. Step 6: Final answer
    x = 296,381.10

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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.