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Finding the Third Proportional to 64,833.75 and 94,942.13

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Solution

The third proportional to 64,833.75 and 94,942.13 is: 139,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,833.75 : 94,942.13 = 94,942.13 : x
  2. Step 2: Convert to fraction form
    64,833.75/94,942.13 = 94,942.13/x
  3. Step 3: Cross multiply
    64,833.75x = 94,942.13 × 94,942.13
  4. Step 4: Simplify right side
    64,833.75x = 9,014,007,099.52
  5. Step 5: Solve for x
    x = 9,014,007,099.52/64,833.75
  6. Step 6: Final answer
    x = 139,032.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.