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Finding the Third Proportional to 68,460.75 and 147,107.25

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Solution

The third proportional to 68,460.75 and 147,107.25 is: 316,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,460.75 : 147,107.25 = 147,107.25 : x
  2. Step 2: Convert to fraction form
    68,460.75/147,107.25 = 147,107.25/x
  3. Step 3: Cross multiply
    68,460.75x = 147,107.25 × 147,107.25
  4. Step 4: Simplify right side
    68,460.75x = 21,640,543,002.56
  5. Step 5: Solve for x
    x = 21,640,543,002.56/68,460.75
  6. Step 6: Final answer
    x = 316,101.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.