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Finding the Third Proportional to 60,784 and 126,400

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Solution

The third proportional to 60,784 and 126,400 is: 262,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,784 : 126,400 = 126,400 : x
  2. Step 2: Convert to fraction form
    60,784/126,400 = 126,400/x
  3. Step 3: Cross multiply
    60,784x = 126,400 × 126,400
  4. Step 4: Simplify right side
    60,784x = 15,976,960,000
  5. Step 5: Solve for x
    x = 15,976,960,000/60,784
  6. Step 6: Final answer
    x = 262,848.12

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.