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Finding the Third Proportional to 61,418 and 94,843

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Solution

The third proportional to 61,418 and 94,843 is: 146,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,418 : 94,843 = 94,843 : x
  2. Step 2: Convert to fraction form
    61,418/94,843 = 94,843/x
  3. Step 3: Cross multiply
    61,418x = 94,843 × 94,843
  4. Step 4: Simplify right side
    61,418x = 8,995,194,649
  5. Step 5: Solve for x
    x = 8,995,194,649/61,418
  6. Step 6: Final answer
    x = 146,458.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.