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Finding the Third Proportional to 60,366 and 132,684

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Solution

The third proportional to 60,366 and 132,684 is: 291,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,366 : 132,684 = 132,684 : x
  2. Step 2: Convert to fraction form
    60,366/132,684 = 132,684/x
  3. Step 3: Cross multiply
    60,366x = 132,684 × 132,684
  4. Step 4: Simplify right side
    60,366x = 17,605,043,856
  5. Step 5: Solve for x
    x = 17,605,043,856/60,366
  6. Step 6: Final answer
    x = 291,638.40

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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.