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Finding the Third Proportional to 68,083.50 and 144,277.50

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Solution

The third proportional to 68,083.50 and 144,277.50 is: 305,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,083.50 : 144,277.50 = 144,277.50 : x
  2. Step 2: Convert to fraction form
    68,083.50/144,277.50 = 144,277.50/x
  3. Step 3: Cross multiply
    68,083.50x = 144,277.50 × 144,277.50
  4. Step 4: Simplify right side
    68,083.50x = 20,815,997,006.25
  5. Step 5: Solve for x
    x = 20,815,997,006.25/68,083.50
  6. Step 6: Final answer
    x = 305,742.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.