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Finding the Third Proportional to 73,005.75 and 151,822.50

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Solution

The third proportional to 73,005.75 and 151,822.50 is: 315,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,005.75 : 151,822.50 = 151,822.50 : x
  2. Step 2: Convert to fraction form
    73,005.75/151,822.50 = 151,822.50/x
  3. Step 3: Cross multiply
    73,005.75x = 151,822.50 × 151,822.50
  4. Step 4: Simplify right side
    73,005.75x = 23,050,071,506.25
  5. Step 5: Solve for x
    x = 23,050,071,506.25/73,005.75
  6. Step 6: Final answer
    x = 315,729.54

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.