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Finding the Third Proportional to 45,003 and 97,941

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Solution

The third proportional to 45,003 and 97,941 is: 213,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,003 : 97,941 = 97,941 : x
  2. Step 2: Convert to fraction form
    45,003/97,941 = 97,941/x
  3. Step 3: Cross multiply
    45,003x = 97,941 × 97,941
  4. Step 4: Simplify right side
    45,003x = 9,592,439,481
  5. Step 5: Solve for x
    x = 9,592,439,481/45,003
  6. Step 6: Final answer
    x = 213,151.11

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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.