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Finding the Third Proportional to 76,079 and 111,301.50

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Solution

The third proportional to 76,079 and 111,301.50 is: 162,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,079 : 111,301.50 = 111,301.50 : x
  2. Step 2: Convert to fraction form
    76,079/111,301.50 = 111,301.50/x
  3. Step 3: Cross multiply
    76,079x = 111,301.50 × 111,301.50
  4. Step 4: Simplify right side
    76,079x = 12,388,023,902.25
  5. Step 5: Solve for x
    x = 12,388,023,902.25/76,079
  6. Step 6: Final answer
    x = 162,831.06

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