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Finding the Third Proportional to 63,027 and 94,096.50

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Solution

The third proportional to 63,027 and 94,096.50 is: 140,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,027 : 94,096.50 = 94,096.50 : x
  2. Step 2: Convert to fraction form
    63,027/94,096.50 = 94,096.50/x
  3. Step 3: Cross multiply
    63,027x = 94,096.50 × 94,096.50
  4. Step 4: Simplify right side
    63,027x = 8,854,151,312.25
  5. Step 5: Solve for x
    x = 8,854,151,312.25/63,027
  6. Step 6: Final answer
    x = 140,481.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.