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Finding the Third Proportional to 61,961 and 135,784

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Solution

The third proportional to 61,961 and 135,784 is: 297,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,961 : 135,784 = 135,784 : x
  2. Step 2: Convert to fraction form
    61,961/135,784 = 135,784/x
  3. Step 3: Cross multiply
    61,961x = 135,784 × 135,784
  4. Step 4: Simplify right side
    61,961x = 18,437,294,656
  5. Step 5: Solve for x
    x = 18,437,294,656/61,961
  6. Step 6: Final answer
    x = 297,562.90

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Why These Related Problems?

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