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Finding the Third Proportional to 68,087.25 and 105,002.25

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Solution

The third proportional to 68,087.25 and 105,002.25 is: 161,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,087.25 : 105,002.25 = 105,002.25 : x
  2. Step 2: Convert to fraction form
    68,087.25/105,002.25 = 105,002.25/x
  3. Step 3: Cross multiply
    68,087.25x = 105,002.25 × 105,002.25
  4. Step 4: Simplify right side
    68,087.25x = 11,025,472,505.06
  5. Step 5: Solve for x
    x = 11,025,472,505.06/68,087.25
  6. Step 6: Final answer
    x = 161,931.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.