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Finding the Third Proportional to 76,313.25 and 112,188.38

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Solution

The third proportional to 76,313.25 and 112,188.38 is: 164,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,313.25 : 112,188.38 = 112,188.38 : x
  2. Step 2: Convert to fraction form
    76,313.25/112,188.38 = 112,188.38/x
  3. Step 3: Cross multiply
    76,313.25x = 112,188.38 × 112,188.38
  4. Step 4: Simplify right side
    76,313.25x = 12,586,231,485.14
  5. Step 5: Solve for x
    x = 12,586,231,485.14/76,313.25
  6. Step 6: Final answer
    x = 164,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.