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Finding the Third Proportional to 63,245 and 95,282

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Solution

The third proportional to 63,245 and 95,282 is: 143,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,245 : 95,282 = 95,282 : x
  2. Step 2: Convert to fraction form
    63,245/95,282 = 95,282/x
  3. Step 3: Cross multiply
    63,245x = 95,282 × 95,282
  4. Step 4: Simplify right side
    63,245x = 9,078,659,524
  5. Step 5: Solve for x
    x = 9,078,659,524/63,245
  6. Step 6: Final answer
    x = 143,547.47

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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.