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Finding the Third Proportional to 131,766.75 and 282,123

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Solution

The third proportional to 131,766.75 and 282,123 is: 604,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,766.75 : 282,123 = 282,123 : x
  2. Step 2: Convert to fraction form
    131,766.75/282,123 = 282,123/x
  3. Step 3: Cross multiply
    131,766.75x = 282,123 × 282,123
  4. Step 4: Simplify right side
    131,766.75x = 79,593,387,129
  5. Step 5: Solve for x
    x = 79,593,387,129/131,766.75
  6. Step 6: Final answer
    x = 604,047.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.