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Finding the Third Proportional to 48,357 and 101,088

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Solution

The third proportional to 48,357 and 101,088 is: 211,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,357 : 101,088 = 101,088 : x
  2. Step 2: Convert to fraction form
    48,357/101,088 = 101,088/x
  3. Step 3: Cross multiply
    48,357x = 101,088 × 101,088
  4. Step 4: Simplify right side
    48,357x = 10,218,783,744
  5. Step 5: Solve for x
    x = 10,218,783,744/48,357
  6. Step 6: Final answer
    x = 211,319.64

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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.