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Finding the Third Proportional to 48,717 and 101,263

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Solution

The third proportional to 48,717 and 101,263 is: 210,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,717 : 101,263 = 101,263 : x
  2. Step 2: Convert to fraction form
    48,717/101,263 = 101,263/x
  3. Step 3: Cross multiply
    48,717x = 101,263 × 101,263
  4. Step 4: Simplify right side
    48,717x = 10,254,195,169
  5. Step 5: Solve for x
    x = 10,254,195,169/48,717
  6. Step 6: Final answer
    x = 210,484.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.