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Finding the Third Proportional to 41,588 and 91,228

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Solution

The third proportional to 41,588 and 91,228 is: 200,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,588 : 91,228 = 91,228 : x
  2. Step 2: Convert to fraction form
    41,588/91,228 = 91,228/x
  3. Step 3: Cross multiply
    41,588x = 91,228 × 91,228
  4. Step 4: Simplify right side
    41,588x = 8,322,547,984
  5. Step 5: Solve for x
    x = 8,322,547,984/41,588
  6. Step 6: Final answer
    x = 200,118.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.