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Finding the Third Proportional to 45,408 and 95,712

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Solution

The third proportional to 45,408 and 95,712 is: 201,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408 : 95,712 = 95,712 : x
  2. Step 2: Convert to fraction form
    45,408/95,712 = 95,712/x
  3. Step 3: Cross multiply
    45,408x = 95,712 × 95,712
  4. Step 4: Simplify right side
    45,408x = 9,160,786,944
  5. Step 5: Solve for x
    x = 9,160,786,944/45,408
  6. Step 6: Final answer
    x = 201,743.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.