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Finding the Third Proportional to 48,413 and 101,260

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Solution

The third proportional to 48,413 and 101,260 is: 211,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,413 : 101,260 = 101,260 : x
  2. Step 2: Convert to fraction form
    48,413/101,260 = 101,260/x
  3. Step 3: Cross multiply
    48,413x = 101,260 × 101,260
  4. Step 4: Simplify right side
    48,413x = 10,253,587,600
  5. Step 5: Solve for x
    x = 10,253,587,600/48,413
  6. Step 6: Final answer
    x = 211,794.10

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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.