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Finding the Third Proportional to 60,538 and 119,522

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Solution

The third proportional to 60,538 and 119,522 is: 235,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,538 : 119,522 = 119,522 : x
  2. Step 2: Convert to fraction form
    60,538/119,522 = 119,522/x
  3. Step 3: Cross multiply
    60,538x = 119,522 × 119,522
  4. Step 4: Simplify right side
    60,538x = 14,285,508,484
  5. Step 5: Solve for x
    x = 14,285,508,484/60,538
  6. Step 6: Final answer
    x = 235,975.89

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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.