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Finding the Third Proportional to 69,718.50 and 106,670.25

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Solution

The third proportional to 69,718.50 and 106,670.25 is: 163,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,718.50 : 106,670.25 = 106,670.25 : x
  2. Step 2: Convert to fraction form
    69,718.50/106,670.25 = 106,670.25/x
  3. Step 3: Cross multiply
    69,718.50x = 106,670.25 × 106,670.25
  4. Step 4: Simplify right side
    69,718.50x = 11,378,542,235.06
  5. Step 5: Solve for x
    x = 11,378,542,235.06/69,718.50
  6. Step 6: Final answer
    x = 163,206.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.