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Finding the Third Proportional to 70,633 and 106,669.50

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Solution

The third proportional to 70,633 and 106,669.50 is: 161,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,633 : 106,669.50 = 106,669.50 : x
  2. Step 2: Convert to fraction form
    70,633/106,669.50 = 106,669.50/x
  3. Step 3: Cross multiply
    70,633x = 106,669.50 × 106,669.50
  4. Step 4: Simplify right side
    70,633x = 11,378,382,230.25
  5. Step 5: Solve for x
    x = 11,378,382,230.25/70,633
  6. Step 6: Final answer
    x = 161,091.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.