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Finding the Third Proportional to 76,317.75 and 112,190.06

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Solution

The third proportional to 76,317.75 and 112,190.06 is: 164,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,317.75 : 112,190.06 = 112,190.06 : x
  2. Step 2: Convert to fraction form
    76,317.75/112,190.06 = 112,190.06/x
  3. Step 3: Cross multiply
    76,317.75x = 112,190.06 × 112,190.06
  4. Step 4: Simplify right side
    76,317.75x = 12,586,610,123.75
  5. Step 5: Solve for x
    x = 12,586,610,123.75/76,317.75
  6. Step 6: Final answer
    x = 164,923.76

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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.