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Finding the Third Proportional to 61,327.13 and 131,523.75

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Solution

The third proportional to 61,327.13 and 131,523.75 is: 282,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327.13 : 131,523.75 = 131,523.75 : x
  2. Step 2: Convert to fraction form
    61,327.13/131,523.75 = 131,523.75/x
  3. Step 3: Cross multiply
    61,327.13x = 131,523.75 × 131,523.75
  4. Step 4: Simplify right side
    61,327.13x = 17,298,496,814.06
  5. Step 5: Solve for x
    x = 17,298,496,814.06/61,327.13
  6. Step 6: Final answer
    x = 282,069.26

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