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Finding the Third Proportional to 48,784 and 101,396

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Solution

The third proportional to 48,784 and 101,396 is: 210,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784 : 101,396 = 101,396 : x
  2. Step 2: Convert to fraction form
    48,784/101,396 = 101,396/x
  3. Step 3: Cross multiply
    48,784x = 101,396 × 101,396
  4. Step 4: Simplify right side
    48,784x = 10,281,148,816
  5. Step 5: Solve for x
    x = 10,281,148,816/48,784
  6. Step 6: Final answer
    x = 210,748.38

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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.