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Finding the Third Proportional to 48,266 and 72,302

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Solution

The third proportional to 48,266 and 72,302 is: 108,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,266 : 72,302 = 72,302 : x
  2. Step 2: Convert to fraction form
    48,266/72,302 = 72,302/x
  3. Step 3: Cross multiply
    48,266x = 72,302 × 72,302
  4. Step 4: Simplify right side
    48,266x = 5,227,579,204
  5. Step 5: Solve for x
    x = 5,227,579,204/48,266
  6. Step 6: Final answer
    x = 108,307.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.