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Finding the Third Proportional to 48,982 and 102,202

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Solution

The third proportional to 48,982 and 102,202 is: 213,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,982 : 102,202 = 102,202 : x
  2. Step 2: Convert to fraction form
    48,982/102,202 = 102,202/x
  3. Step 3: Cross multiply
    48,982x = 102,202 × 102,202
  4. Step 4: Simplify right side
    48,982x = 10,445,248,804
  5. Step 5: Solve for x
    x = 10,445,248,804/48,982
  6. Step 6: Final answer
    x = 213,246.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.