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Finding the Third Proportional to 60,534 and 119,517

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Solution

The third proportional to 60,534 and 119,517 is: 235,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,534 : 119,517 = 119,517 : x
  2. Step 2: Convert to fraction form
    60,534/119,517 = 119,517/x
  3. Step 3: Cross multiply
    60,534x = 119,517 × 119,517
  4. Step 4: Simplify right side
    60,534x = 14,284,313,289
  5. Step 5: Solve for x
    x = 14,284,313,289/60,534
  6. Step 6: Final answer
    x = 235,971.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.