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Finding the Third Proportional to 68,084 and 98,062

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Solution

The third proportional to 68,084 and 98,062 is: 141,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,084 : 98,062 = 98,062 : x
  2. Step 2: Convert to fraction form
    68,084/98,062 = 98,062/x
  3. Step 3: Cross multiply
    68,084x = 98,062 × 98,062
  4. Step 4: Simplify right side
    68,084x = 9,616,155,844
  5. Step 5: Solve for x
    x = 9,616,155,844/68,084
  6. Step 6: Final answer
    x = 141,239.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.