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Finding the Third Proportional to 69,297 and 111,601.50

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Solution

The third proportional to 69,297 and 111,601.50 is: 179,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,297 : 111,601.50 = 111,601.50 : x
  2. Step 2: Convert to fraction form
    69,297/111,601.50 = 111,601.50/x
  3. Step 3: Cross multiply
    69,297x = 111,601.50 × 111,601.50
  4. Step 4: Simplify right side
    69,297x = 12,454,894,802.25
  5. Step 5: Solve for x
    x = 12,454,894,802.25/69,297
  6. Step 6: Final answer
    x = 179,732.09

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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.