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Finding the Third Proportional to 42,315.50 and 100,253.50

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Solution

The third proportional to 42,315.50 and 100,253.50 is: 237,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,315.50 : 100,253.50 = 100,253.50 : x
  2. Step 2: Convert to fraction form
    42,315.50/100,253.50 = 100,253.50/x
  3. Step 3: Cross multiply
    42,315.50x = 100,253.50 × 100,253.50
  4. Step 4: Simplify right side
    42,315.50x = 10,050,764,262.25
  5. Step 5: Solve for x
    x = 10,050,764,262.25/42,315.50
  6. Step 6: Final answer
    x = 237,519.69

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.