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Finding the Third Proportional to 56,141 and 84,793

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Solution

The third proportional to 56,141 and 84,793 is: 128,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,141 : 84,793 = 84,793 : x
  2. Step 2: Convert to fraction form
    56,141/84,793 = 84,793/x
  3. Step 3: Cross multiply
    56,141x = 84,793 × 84,793
  4. Step 4: Simplify right side
    56,141x = 7,189,852,849
  5. Step 5: Solve for x
    x = 7,189,852,849/56,141
  6. Step 6: Final answer
    x = 128,067.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.