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Finding the Third Proportional to 68,292 and 92,062

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Solution

The third proportional to 68,292 and 92,062 is: 124,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,292 : 92,062 = 92,062 : x
  2. Step 2: Convert to fraction form
    68,292/92,062 = 92,062/x
  3. Step 3: Cross multiply
    68,292x = 92,062 × 92,062
  4. Step 4: Simplify right side
    68,292x = 8,475,411,844
  5. Step 5: Solve for x
    x = 8,475,411,844/68,292
  6. Step 6: Final answer
    x = 124,105.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.