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Finding the Third Proportional to 94,704 and 141,404

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Solution

The third proportional to 94,704 and 141,404 is: 211,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,704 : 141,404 = 141,404 : x
  2. Step 2: Convert to fraction form
    94,704/141,404 = 141,404/x
  3. Step 3: Cross multiply
    94,704x = 141,404 × 141,404
  4. Step 4: Simplify right side
    94,704x = 19,995,091,216
  5. Step 5: Solve for x
    x = 19,995,091,216/94,704
  6. Step 6: Final answer
    x = 211,132.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.