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Finding the Third Proportional to 113,578 and 247,042

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Solution

The third proportional to 113,578 and 247,042 is: 537,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,578 : 247,042 = 247,042 : x
  2. Step 2: Convert to fraction form
    113,578/247,042 = 247,042/x
  3. Step 3: Cross multiply
    113,578x = 247,042 × 247,042
  4. Step 4: Simplify right side
    113,578x = 61,029,749,764
  5. Step 5: Solve for x
    x = 61,029,749,764/113,578
  6. Step 6: Final answer
    x = 537,337.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.