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Finding the Third Proportional to 63,864 and 98,028

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Solution

The third proportional to 63,864 and 98,028 is: 150,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,864 : 98,028 = 98,028 : x
  2. Step 2: Convert to fraction form
    63,864/98,028 = 98,028/x
  3. Step 3: Cross multiply
    63,864x = 98,028 × 98,028
  4. Step 4: Simplify right side
    63,864x = 9,609,488,784
  5. Step 5: Solve for x
    x = 9,609,488,784/63,864
  6. Step 6: Final answer
    x = 150,468.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.