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Finding the Third Proportional to 61,785 and 135,600.75

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Solution

The third proportional to 61,785 and 135,600.75 is: 297,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,785 : 135,600.75 = 135,600.75 : x
  2. Step 2: Convert to fraction form
    61,785/135,600.75 = 135,600.75/x
  3. Step 3: Cross multiply
    61,785x = 135,600.75 × 135,600.75
  4. Step 4: Simplify right side
    61,785x = 18,387,563,400.56
  5. Step 5: Solve for x
    x = 18,387,563,400.56/61,785
  6. Step 6: Final answer
    x = 297,605.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.