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Finding the Third Proportional to 64,638 and 97,027.88

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Solution

The third proportional to 64,638 and 97,027.88 is: 145,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,638 : 97,027.88 = 97,027.88 : x
  2. Step 2: Convert to fraction form
    64,638/97,027.88 = 97,027.88/x
  3. Step 3: Cross multiply
    64,638x = 97,027.88 × 97,027.88
  4. Step 4: Simplify right side
    64,638x = 9,414,408,527.02
  5. Step 5: Solve for x
    x = 9,414,408,527.02/64,638
  6. Step 6: Final answer
    x = 145,648.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.