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Finding the Third Proportional to 94,118 and 141,388

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Solution

The third proportional to 94,118 and 141,388 is: 212,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,118 : 141,388 = 141,388 : x
  2. Step 2: Convert to fraction form
    94,118/141,388 = 141,388/x
  3. Step 3: Cross multiply
    94,118x = 141,388 × 141,388
  4. Step 4: Simplify right side
    94,118x = 19,990,566,544
  5. Step 5: Solve for x
    x = 19,990,566,544/94,118
  6. Step 6: Final answer
    x = 212,398.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.