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Finding the Third Proportional to 69,510.38 and 111,920.63

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Solution

The third proportional to 69,510.38 and 111,920.63 is: 180,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,510.38 : 111,920.63 = 111,920.63 : x
  2. Step 2: Convert to fraction form
    69,510.38/111,920.63 = 111,920.63/x
  3. Step 3: Cross multiply
    69,510.38x = 111,920.63 × 111,920.63
  4. Step 4: Simplify right side
    69,510.38x = 12,526,226,300.39
  5. Step 5: Solve for x
    x = 12,526,226,300.39/69,510.38
  6. Step 6: Final answer
    x = 180,206.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.