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Finding the Third Proportional to 40,798 and 88,612

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Solution

The third proportional to 40,798 and 88,612 is: 192,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,798 : 88,612 = 88,612 : x
  2. Step 2: Convert to fraction form
    40,798/88,612 = 88,612/x
  3. Step 3: Cross multiply
    40,798x = 88,612 × 88,612
  4. Step 4: Simplify right side
    40,798x = 7,852,086,544
  5. Step 5: Solve for x
    x = 7,852,086,544/40,798
  6. Step 6: Final answer
    x = 192,462.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.