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Finding the Third Proportional to 61,864 and 96,036

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Solution

The third proportional to 61,864 and 96,036 is: 149,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,864 : 96,036 = 96,036 : x
  2. Step 2: Convert to fraction form
    61,864/96,036 = 96,036/x
  3. Step 3: Cross multiply
    61,864x = 96,036 × 96,036
  4. Step 4: Simplify right side
    61,864x = 9,222,913,296
  5. Step 5: Solve for x
    x = 9,222,913,296/61,864
  6. Step 6: Final answer
    x = 149,083.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.