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Finding the Third Proportional to 64,902 and 94,800

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Solution

The third proportional to 64,902 and 94,800 is: 138,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902 : 94,800 = 94,800 : x
  2. Step 2: Convert to fraction form
    64,902/94,800 = 94,800/x
  3. Step 3: Cross multiply
    64,902x = 94,800 × 94,800
  4. Step 4: Simplify right side
    64,902x = 8,987,040,000
  5. Step 5: Solve for x
    x = 8,987,040,000/64,902
  6. Step 6: Final answer
    x = 138,470.93

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Why These Related Problems?

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