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Finding the Third Proportional to 68,127.75 and 141,112.13

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Solution

The third proportional to 68,127.75 and 141,112.13 is: 292,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,127.75 : 141,112.13 = 141,112.13 : x
  2. Step 2: Convert to fraction form
    68,127.75/141,112.13 = 141,112.13/x
  3. Step 3: Cross multiply
    68,127.75x = 141,112.13 × 141,112.13
  4. Step 4: Simplify right side
    68,127.75x = 19,912,631,822.02
  5. Step 5: Solve for x
    x = 19,912,631,822.02/68,127.75
  6. Step 6: Final answer
    x = 292,283.71

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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.