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Finding the Third Proportional to 45,002 and 95,541

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Solution

The third proportional to 45,002 and 95,541 is: 202,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,002 : 95,541 = 95,541 : x
  2. Step 2: Convert to fraction form
    45,002/95,541 = 95,541/x
  3. Step 3: Cross multiply
    45,002x = 95,541 × 95,541
  4. Step 4: Simplify right side
    45,002x = 9,128,082,681
  5. Step 5: Solve for x
    x = 9,128,082,681/45,002
  6. Step 6: Final answer
    x = 202,837.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.