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Finding the Third Proportional to 94,008 and 141,192

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Solution

The third proportional to 94,008 and 141,192 is: 212,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,008 : 141,192 = 141,192 : x
  2. Step 2: Convert to fraction form
    94,008/141,192 = 141,192/x
  3. Step 3: Cross multiply
    94,008x = 141,192 × 141,192
  4. Step 4: Simplify right side
    94,008x = 19,935,180,864
  5. Step 5: Solve for x
    x = 19,935,180,864/94,008
  6. Step 6: Final answer
    x = 212,058.34

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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.