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Finding the Third Proportional to 74,236.50 and 151,065

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Solution

The third proportional to 74,236.50 and 151,065 is: 307,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,236.50 : 151,065 = 151,065 : x
  2. Step 2: Convert to fraction form
    74,236.50/151,065 = 151,065/x
  3. Step 3: Cross multiply
    74,236.50x = 151,065 × 151,065
  4. Step 4: Simplify right side
    74,236.50x = 22,820,634,225
  5. Step 5: Solve for x
    x = 22,820,634,225/74,236.50
  6. Step 6: Final answer
    x = 307,404.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.