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Finding the Third Proportional to 63,096.50 and 128,047

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Solution

The third proportional to 63,096.50 and 128,047 is: 259,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,096.50 : 128,047 = 128,047 : x
  2. Step 2: Convert to fraction form
    63,096.50/128,047 = 128,047/x
  3. Step 3: Cross multiply
    63,096.50x = 128,047 × 128,047
  4. Step 4: Simplify right side
    63,096.50x = 16,396,034,209
  5. Step 5: Solve for x
    x = 16,396,034,209/63,096.50
  6. Step 6: Final answer
    x = 259,856.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.