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Finding the Third Proportional to 131,559.75 and 198,523.69

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Solution

The third proportional to 131,559.75 and 198,523.69 is: 299,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,559.75 : 198,523.69 = 198,523.69 : x
  2. Step 2: Convert to fraction form
    131,559.75/198,523.69 = 198,523.69/x
  3. Step 3: Cross multiply
    131,559.75x = 198,523.69 × 198,523.69
  4. Step 4: Simplify right side
    131,559.75x = 39,411,654,498.60
  5. Step 5: Solve for x
    x = 39,411,654,498.60/131,559.75
  6. Step 6: Final answer
    x = 299,572.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.