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Finding the Third Proportional to 42,524 and 92,818

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Solution

The third proportional to 42,524 and 92,818 is: 202,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,524 : 92,818 = 92,818 : x
  2. Step 2: Convert to fraction form
    42,524/92,818 = 92,818/x
  3. Step 3: Cross multiply
    42,524x = 92,818 × 92,818
  4. Step 4: Simplify right side
    42,524x = 8,615,181,124
  5. Step 5: Solve for x
    x = 8,615,181,124/42,524
  6. Step 6: Final answer
    x = 202,595.74

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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.