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Finding the Third Proportional to 63,271 and 95,320

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Solution

The third proportional to 63,271 and 95,320 is: 143,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,271 : 95,320 = 95,320 : x
  2. Step 2: Convert to fraction form
    63,271/95,320 = 95,320/x
  3. Step 3: Cross multiply
    63,271x = 95,320 × 95,320
  4. Step 4: Simplify right side
    63,271x = 9,085,902,400
  5. Step 5: Solve for x
    x = 9,085,902,400/63,271
  6. Step 6: Final answer
    x = 143,602.95

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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.