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Finding the Third Proportional to 59,288.63 and 105,418.13

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Solution

The third proportional to 59,288.63 and 105,418.13 is: 187,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,288.63 : 105,418.13 = 105,418.13 : x
  2. Step 2: Convert to fraction form
    59,288.63/105,418.13 = 105,418.13/x
  3. Step 3: Cross multiply
    59,288.63x = 105,418.13 × 105,418.13
  4. Step 4: Simplify right side
    59,288.63x = 11,112,981,078.52
  5. Step 5: Solve for x
    x = 11,112,981,078.52/59,288.63
  6. Step 6: Final answer
    x = 187,438.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.