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Finding the Third Proportional to 68,045 and 88,945

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Solution

The third proportional to 68,045 and 88,945 is: 116,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,045 : 88,945 = 88,945 : x
  2. Step 2: Convert to fraction form
    68,045/88,945 = 88,945/x
  3. Step 3: Cross multiply
    68,045x = 88,945 × 88,945
  4. Step 4: Simplify right side
    68,045x = 7,911,213,025
  5. Step 5: Solve for x
    x = 7,911,213,025/68,045
  6. Step 6: Final answer
    x = 116,264.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.