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Finding the Third Proportional to 131,642.72 and 269,514.84

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Solution

The third proportional to 131,642.72 and 269,514.84 is: 551,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,642.72 : 269,514.84 = 269,514.84 : x
  2. Step 2: Convert to fraction form
    131,642.72/269,514.84 = 269,514.84/x
  3. Step 3: Cross multiply
    131,642.72x = 269,514.84 × 269,514.84
  4. Step 4: Simplify right side
    131,642.72x = 72,638,251,001.59
  5. Step 5: Solve for x
    x = 72,638,251,001.59/131,642.72
  6. Step 6: Final answer
    x = 551,783.28

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.