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Finding the Third Proportional to 68,044 and 142,284

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Solution

The third proportional to 68,044 and 142,284 is: 297,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,044 : 142,284 = 142,284 : x
  2. Step 2: Convert to fraction form
    68,044/142,284 = 142,284/x
  3. Step 3: Cross multiply
    68,044x = 142,284 × 142,284
  4. Step 4: Simplify right side
    68,044x = 20,244,736,656
  5. Step 5: Solve for x
    x = 20,244,736,656/68,044
  6. Step 6: Final answer
    x = 297,524.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.