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Finding the Third Proportional to 61,326 and 135,753.75

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Solution

The third proportional to 61,326 and 135,753.75 is: 300,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,326 : 135,753.75 = 135,753.75 : x
  2. Step 2: Convert to fraction form
    61,326/135,753.75 = 135,753.75/x
  3. Step 3: Cross multiply
    61,326x = 135,753.75 × 135,753.75
  4. Step 4: Simplify right side
    61,326x = 18,429,080,639.06
  5. Step 5: Solve for x
    x = 18,429,080,639.06/61,326
  6. Step 6: Final answer
    x = 300,510.07

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.