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Finding the Third Proportional to 60,483 and 132,774

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Solution

The third proportional to 60,483 and 132,774 is: 291,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,483 : 132,774 = 132,774 : x
  2. Step 2: Convert to fraction form
    60,483/132,774 = 132,774/x
  3. Step 3: Cross multiply
    60,483x = 132,774 × 132,774
  4. Step 4: Simplify right side
    60,483x = 17,628,935,076
  5. Step 5: Solve for x
    x = 17,628,935,076/60,483
  6. Step 6: Final answer
    x = 291,469.26

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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.