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Finding the Third Proportional to 63,209 and 95,214

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Solution

The third proportional to 63,209 and 95,214 is: 143,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,209 : 95,214 = 95,214 : x
  2. Step 2: Convert to fraction form
    63,209/95,214 = 95,214/x
  3. Step 3: Cross multiply
    63,209x = 95,214 × 95,214
  4. Step 4: Simplify right side
    63,209x = 9,065,705,796
  5. Step 5: Solve for x
    x = 9,065,705,796/63,209
  6. Step 6: Final answer
    x = 143,424.29

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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.