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Finding the Third Proportional to 48,350 and 102,506

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Solution

The third proportional to 48,350 and 102,506 is: 217,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,350 : 102,506 = 102,506 : x
  2. Step 2: Convert to fraction form
    48,350/102,506 = 102,506/x
  3. Step 3: Cross multiply
    48,350x = 102,506 × 102,506
  4. Step 4: Simplify right side
    48,350x = 10,507,480,036
  5. Step 5: Solve for x
    x = 10,507,480,036/48,350
  6. Step 6: Final answer
    x = 217,321.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.