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Finding the Third Proportional to 42,243 and 90,726

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Solution

The third proportional to 42,243 and 90,726 is: 194,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,243 : 90,726 = 90,726 : x
  2. Step 2: Convert to fraction form
    42,243/90,726 = 90,726/x
  3. Step 3: Cross multiply
    42,243x = 90,726 × 90,726
  4. Step 4: Simplify right side
    42,243x = 8,231,207,076
  5. Step 5: Solve for x
    x = 8,231,207,076/42,243
  6. Step 6: Final answer
    x = 194,853.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.