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Finding the Third Proportional to 56,712.75 and 87,051.75

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Solution

The third proportional to 56,712.75 and 87,051.75 is: 133,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,712.75 : 87,051.75 = 87,051.75 : x
  2. Step 2: Convert to fraction form
    56,712.75/87,051.75 = 87,051.75/x
  3. Step 3: Cross multiply
    56,712.75x = 87,051.75 × 87,051.75
  4. Step 4: Simplify right side
    56,712.75x = 7,578,007,178.06
  5. Step 5: Solve for x
    x = 7,578,007,178.06/56,712.75
  6. Step 6: Final answer
    x = 133,620.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.