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Finding the Third Proportional to 59,162 and 128,358

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Solution

The third proportional to 59,162 and 128,358 is: 278,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,162 : 128,358 = 128,358 : x
  2. Step 2: Convert to fraction form
    59,162/128,358 = 128,358/x
  3. Step 3: Cross multiply
    59,162x = 128,358 × 128,358
  4. Step 4: Simplify right side
    59,162x = 16,475,776,164
  5. Step 5: Solve for x
    x = 16,475,776,164/59,162
  6. Step 6: Final answer
    x = 278,485.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.