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Finding the Third Proportional to 42,290 and 92,113

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Solution

The third proportional to 42,290 and 92,113 is: 200,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,290 : 92,113 = 92,113 : x
  2. Step 2: Convert to fraction form
    42,290/92,113 = 92,113/x
  3. Step 3: Cross multiply
    42,290x = 92,113 × 92,113
  4. Step 4: Simplify right side
    42,290x = 8,484,804,769
  5. Step 5: Solve for x
    x = 8,484,804,769/42,290
  6. Step 6: Final answer
    x = 200,633.83

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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.