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Finding the Third Proportional to 131,835.09 and 183,092.91

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Solution

The third proportional to 131,835.09 and 183,092.91 is: 254,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,835.09 : 183,092.91 = 183,092.91 : x
  2. Step 2: Convert to fraction form
    131,835.09/183,092.91 = 183,092.91/x
  3. Step 3: Cross multiply
    131,835.09x = 183,092.91 × 183,092.91
  4. Step 4: Simplify right side
    131,835.09x = 33,523,012,319.07
  5. Step 5: Solve for x
    x = 33,523,012,319.07/131,835.09
  6. Step 6: Final answer
    x = 254,279.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.