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Finding the Third Proportional to 64,902 and 94,802

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Solution

The third proportional to 64,902 and 94,802 is: 138,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902 : 94,802 = 94,802 : x
  2. Step 2: Convert to fraction form
    64,902/94,802 = 94,802/x
  3. Step 3: Cross multiply
    64,902x = 94,802 × 94,802
  4. Step 4: Simplify right side
    64,902x = 8,987,419,204
  5. Step 5: Solve for x
    x = 8,987,419,204/64,902
  6. Step 6: Final answer
    x = 138,476.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.