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Finding the Third Proportional to 60,564 and 140,745

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Solution

The third proportional to 60,564 and 140,745 is: 327,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,564 : 140,745 = 140,745 : x
  2. Step 2: Convert to fraction form
    60,564/140,745 = 140,745/x
  3. Step 3: Cross multiply
    60,564x = 140,745 × 140,745
  4. Step 4: Simplify right side
    60,564x = 19,809,155,025
  5. Step 5: Solve for x
    x = 19,809,155,025/60,564
  6. Step 6: Final answer
    x = 327,078.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.