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Finding the Third Proportional to 68,960 and 143,040

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Solution

The third proportional to 68,960 and 143,040 is: 296,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,960 : 143,040 = 143,040 : x
  2. Step 2: Convert to fraction form
    68,960/143,040 = 143,040/x
  3. Step 3: Cross multiply
    68,960x = 143,040 × 143,040
  4. Step 4: Simplify right side
    68,960x = 20,460,441,600
  5. Step 5: Solve for x
    x = 20,460,441,600/68,960
  6. Step 6: Final answer
    x = 296,700.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.