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Finding the Third Proportional to 63,207 and 95,211

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Solution

The third proportional to 63,207 and 95,211 is: 143,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,207 : 95,211 = 95,211 : x
  2. Step 2: Convert to fraction form
    63,207/95,211 = 95,211/x
  3. Step 3: Cross multiply
    63,207x = 95,211 × 95,211
  4. Step 4: Simplify right side
    63,207x = 9,065,134,521
  5. Step 5: Solve for x
    x = 9,065,134,521/63,207
  6. Step 6: Final answer
    x = 143,419.79

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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.