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Finding the Third Proportional to 68,024 and 144,284

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Solution

The third proportional to 68,024 and 144,284 is: 306,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,024 : 144,284 = 144,284 : x
  2. Step 2: Convert to fraction form
    68,024/144,284 = 144,284/x
  3. Step 3: Cross multiply
    68,024x = 144,284 × 144,284
  4. Step 4: Simplify right side
    68,024x = 20,817,872,656
  5. Step 5: Solve for x
    x = 20,817,872,656/68,024
  6. Step 6: Final answer
    x = 306,037.17

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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.