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Finding the Third Proportional to 64,944 and 97,845

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Solution

The third proportional to 64,944 and 97,845 is: 147,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,944 : 97,845 = 97,845 : x
  2. Step 2: Convert to fraction form
    64,944/97,845 = 97,845/x
  3. Step 3: Cross multiply
    64,944x = 97,845 × 97,845
  4. Step 4: Simplify right side
    64,944x = 9,573,644,025
  5. Step 5: Solve for x
    x = 9,573,644,025/64,944
  6. Step 6: Final answer
    x = 147,413.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.