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Finding the Third Proportional to 42,309 and 92,922.25

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Solution

The third proportional to 42,309 and 92,922.25 is: 204,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309 : 92,922.25 = 92,922.25 : x
  2. Step 2: Convert to fraction form
    42,309/92,922.25 = 92,922.25/x
  3. Step 3: Cross multiply
    42,309x = 92,922.25 × 92,922.25
  4. Step 4: Simplify right side
    42,309x = 8,634,544,545.06
  5. Step 5: Solve for x
    x = 8,634,544,545.06/42,309
  6. Step 6: Final answer
    x = 204,082.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.