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Finding the Third Proportional to 124,281 and 186,108

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Solution

The third proportional to 124,281 and 186,108 is: 278,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,281 : 186,108 = 186,108 : x
  2. Step 2: Convert to fraction form
    124,281/186,108 = 186,108/x
  3. Step 3: Cross multiply
    124,281x = 186,108 × 186,108
  4. Step 4: Simplify right side
    124,281x = 34,636,187,664
  5. Step 5: Solve for x
    x = 34,636,187,664/124,281
  6. Step 6: Final answer
    x = 278,692.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.