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Finding the Third Proportional to 94,114 and 141,381

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Solution

The third proportional to 94,114 and 141,381 is: 212,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,114 : 141,381 = 141,381 : x
  2. Step 2: Convert to fraction form
    94,114/141,381 = 141,381/x
  3. Step 3: Cross multiply
    94,114x = 141,381 × 141,381
  4. Step 4: Simplify right side
    94,114x = 19,988,587,161
  5. Step 5: Solve for x
    x = 19,988,587,161/94,114
  6. Step 6: Final answer
    x = 212,386.97

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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.