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Finding the Third Proportional to 59,702 and 125,158

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Solution

The third proportional to 59,702 and 125,158 is: 262,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,702 : 125,158 = 125,158 : x
  2. Step 2: Convert to fraction form
    59,702/125,158 = 125,158/x
  3. Step 3: Cross multiply
    59,702x = 125,158 × 125,158
  4. Step 4: Simplify right side
    59,702x = 15,664,524,964
  5. Step 5: Solve for x
    x = 15,664,524,964/59,702
  6. Step 6: Final answer
    x = 262,378.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.