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Finding the Third Proportional to 59,079 and 79,595

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Solution

The third proportional to 59,079 and 79,595 is: 107,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,079 : 79,595 = 79,595 : x
  2. Step 2: Convert to fraction form
    59,079/79,595 = 79,595/x
  3. Step 3: Cross multiply
    59,079x = 79,595 × 79,595
  4. Step 4: Simplify right side
    59,079x = 6,335,364,025
  5. Step 5: Solve for x
    x = 6,335,364,025/59,079
  6. Step 6: Final answer
    x = 107,235.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.