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Finding the Third Proportional to 45,408 and 97,722

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Solution

The third proportional to 45,408 and 97,722 is: 210,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408 : 97,722 = 97,722 : x
  2. Step 2: Convert to fraction form
    45,408/97,722 = 97,722/x
  3. Step 3: Cross multiply
    45,408x = 97,722 × 97,722
  4. Step 4: Simplify right side
    45,408x = 9,549,589,284
  5. Step 5: Solve for x
    x = 9,549,589,284/45,408
  6. Step 6: Final answer
    x = 210,306.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.