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Finding the Third Proportional to 63,295.50 and 95,349

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Solution

The third proportional to 63,295.50 and 95,349 is: 143,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,295.50 : 95,349 = 95,349 : x
  2. Step 2: Convert to fraction form
    63,295.50/95,349 = 95,349/x
  3. Step 3: Cross multiply
    63,295.50x = 95,349 × 95,349
  4. Step 4: Simplify right side
    63,295.50x = 9,091,431,801
  5. Step 5: Solve for x
    x = 9,091,431,801/63,295.50
  6. Step 6: Final answer
    x = 143,634.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.