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Finding the Third Proportional to 44,471 and 92,587

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Solution

The third proportional to 44,471 and 92,587 is: 192,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,471 : 92,587 = 92,587 : x
  2. Step 2: Convert to fraction form
    44,471/92,587 = 92,587/x
  3. Step 3: Cross multiply
    44,471x = 92,587 × 92,587
  4. Step 4: Simplify right side
    44,471x = 8,572,352,569
  5. Step 5: Solve for x
    x = 8,572,352,569/44,471
  6. Step 6: Final answer
    x = 192,762.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.