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Finding the Third Proportional to 48,731 and 106,390

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Solution

The third proportional to 48,731 and 106,390 is: 232,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,731 : 106,390 = 106,390 : x
  2. Step 2: Convert to fraction form
    48,731/106,390 = 106,390/x
  3. Step 3: Cross multiply
    48,731x = 106,390 × 106,390
  4. Step 4: Simplify right side
    48,731x = 11,318,832,100
  5. Step 5: Solve for x
    x = 11,318,832,100/48,731
  6. Step 6: Final answer
    x = 232,271.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.