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Finding the Third Proportional to 48,709 and 101,244.75

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Solution

The third proportional to 48,709 and 101,244.75 is: 210,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,709 : 101,244.75 = 101,244.75 : x
  2. Step 2: Convert to fraction form
    48,709/101,244.75 = 101,244.75/x
  3. Step 3: Cross multiply
    48,709x = 101,244.75 × 101,244.75
  4. Step 4: Simplify right side
    48,709x = 10,250,499,402.56
  5. Step 5: Solve for x
    x = 10,250,499,402.56/48,709
  6. Step 6: Final answer
    x = 210,443.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.