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Finding the Third Proportional to 56,104 and 81,986

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Solution

The third proportional to 56,104 and 81,986 is: 119,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,104 : 81,986 = 81,986 : x
  2. Step 2: Convert to fraction form
    56,104/81,986 = 81,986/x
  3. Step 3: Cross multiply
    56,104x = 81,986 × 81,986
  4. Step 4: Simplify right side
    56,104x = 6,721,704,196
  5. Step 5: Solve for x
    x = 6,721,704,196/56,104
  6. Step 6: Final answer
    x = 119,807.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.