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Finding the Third Proportional to 64,918 and 98,079

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Solution

The third proportional to 64,918 and 98,079 is: 148,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,918 : 98,079 = 98,079 : x
  2. Step 2: Convert to fraction form
    64,918/98,079 = 98,079/x
  3. Step 3: Cross multiply
    64,918x = 98,079 × 98,079
  4. Step 4: Simplify right side
    64,918x = 9,619,490,241
  5. Step 5: Solve for x
    x = 9,619,490,241/64,918
  6. Step 6: Final answer
    x = 148,179.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.