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Finding the Third Proportional to 67,622.25 and 105,260.25

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Solution

The third proportional to 67,622.25 and 105,260.25 is: 163,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,622.25 : 105,260.25 = 105,260.25 : x
  2. Step 2: Convert to fraction form
    67,622.25/105,260.25 = 105,260.25/x
  3. Step 3: Cross multiply
    67,622.25x = 105,260.25 × 105,260.25
  4. Step 4: Simplify right side
    67,622.25x = 11,079,720,230.06
  5. Step 5: Solve for x
    x = 11,079,720,230.06/67,622.25
  6. Step 6: Final answer
    x = 163,847.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.