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Finding the Third Proportional to 53,574 and 80,098

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Solution

The third proportional to 53,574 and 80,098 is: 119,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,574 : 80,098 = 80,098 : x
  2. Step 2: Convert to fraction form
    53,574/80,098 = 80,098/x
  3. Step 3: Cross multiply
    53,574x = 80,098 × 80,098
  4. Step 4: Simplify right side
    53,574x = 6,415,689,604
  5. Step 5: Solve for x
    x = 6,415,689,604/53,574
  6. Step 6: Final answer
    x = 119,753.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.