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Finding the Third Proportional to 56,288 and 79,159

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Solution

The third proportional to 56,288 and 79,159 is: 111,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,288 : 79,159 = 79,159 : x
  2. Step 2: Convert to fraction form
    56,288/79,159 = 79,159/x
  3. Step 3: Cross multiply
    56,288x = 79,159 × 79,159
  4. Step 4: Simplify right side
    56,288x = 6,266,147,281
  5. Step 5: Solve for x
    x = 6,266,147,281/56,288
  6. Step 6: Final answer
    x = 111,322.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.