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Finding the Third Proportional to 68,032 and 144,158

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Solution

The third proportional to 68,032 and 144,158 is: 305,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032 : 144,158 = 144,158 : x
  2. Step 2: Convert to fraction form
    68,032/144,158 = 144,158/x
  3. Step 3: Cross multiply
    68,032x = 144,158 × 144,158
  4. Step 4: Simplify right side
    68,032x = 20,781,528,964
  5. Step 5: Solve for x
    x = 20,781,528,964/68,032
  6. Step 6: Final answer
    x = 305,466.97

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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.