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Finding the Third Proportional to 42,105 and 67,099.50

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Solution

The third proportional to 42,105 and 67,099.50 is: 106,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105 : 67,099.50 = 67,099.50 : x
  2. Step 2: Convert to fraction form
    42,105/67,099.50 = 67,099.50/x
  3. Step 3: Cross multiply
    42,105x = 67,099.50 × 67,099.50
  4. Step 4: Simplify right side
    42,105x = 4,502,342,900.25
  5. Step 5: Solve for x
    x = 4,502,342,900.25/42,105
  6. Step 6: Final answer
    x = 106,931.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.