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Finding the Third Proportional to 76,171.50 and 111,314.25

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Solution

The third proportional to 76,171.50 and 111,314.25 is: 162,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,171.50 : 111,314.25 = 111,314.25 : x
  2. Step 2: Convert to fraction form
    76,171.50/111,314.25 = 111,314.25/x
  3. Step 3: Cross multiply
    76,171.50x = 111,314.25 × 111,314.25
  4. Step 4: Simplify right side
    76,171.50x = 12,390,862,253.06
  5. Step 5: Solve for x
    x = 12,390,862,253.06/76,171.50
  6. Step 6: Final answer
    x = 162,670.58

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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.