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Finding the Third Proportional to 60,756 and 133,472

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Solution

The third proportional to 60,756 and 133,472 is: 293,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,756 : 133,472 = 133,472 : x
  2. Step 2: Convert to fraction form
    60,756/133,472 = 133,472/x
  3. Step 3: Cross multiply
    60,756x = 133,472 × 133,472
  4. Step 4: Simplify right side
    60,756x = 17,814,774,784
  5. Step 5: Solve for x
    x = 17,814,774,784/60,756
  6. Step 6: Final answer
    x = 293,218.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.