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Finding the Third Proportional to 48,502 and 106,022

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Solution

The third proportional to 48,502 and 106,022 is: 231,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502 : 106,022 = 106,022 : x
  2. Step 2: Convert to fraction form
    48,502/106,022 = 106,022/x
  3. Step 3: Cross multiply
    48,502x = 106,022 × 106,022
  4. Step 4: Simplify right side
    48,502x = 11,240,664,484
  5. Step 5: Solve for x
    x = 11,240,664,484/48,502
  6. Step 6: Final answer
    x = 231,756.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.