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Finding the Third Proportional to 41,974 and 93,272

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Solution

The third proportional to 41,974 and 93,272 is: 207,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,974 : 93,272 = 93,272 : x
  2. Step 2: Convert to fraction form
    41,974/93,272 = 93,272/x
  3. Step 3: Cross multiply
    41,974x = 93,272 × 93,272
  4. Step 4: Simplify right side
    41,974x = 8,699,665,984
  5. Step 5: Solve for x
    x = 8,699,665,984/41,974
  6. Step 6: Final answer
    x = 207,263.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.