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Finding the Third Proportional to 61,764 and 134,680

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Solution

The third proportional to 61,764 and 134,680 is: 293,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,764 : 134,680 = 134,680 : x
  2. Step 2: Convert to fraction form
    61,764/134,680 = 134,680/x
  3. Step 3: Cross multiply
    61,764x = 134,680 × 134,680
  4. Step 4: Simplify right side
    61,764x = 18,138,702,400
  5. Step 5: Solve for x
    x = 18,138,702,400/61,764
  6. Step 6: Final answer
    x = 293,677.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.