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Finding the Third Proportional to 76,141.27 and 111,614.84

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Solution

The third proportional to 76,141.27 and 111,614.84 is: 163,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141.27 : 111,614.84 = 111,614.84 : x
  2. Step 2: Convert to fraction form
    76,141.27/111,614.84 = 111,614.84/x
  3. Step 3: Cross multiply
    76,141.27x = 111,614.84 × 111,614.84
  4. Step 4: Simplify right side
    76,141.27x = 12,457,871,601.36
  5. Step 5: Solve for x
    x = 12,457,871,601.36/76,141.27
  6. Step 6: Final answer
    x = 163,615.24

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