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Finding the Third Proportional to 42,171.19 and 92,017.69

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Solution

The third proportional to 42,171.19 and 92,017.69 is: 200,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,171.19 : 92,017.69 = 92,017.69 : x
  2. Step 2: Convert to fraction form
    42,171.19/92,017.69 = 92,017.69/x
  3. Step 3: Cross multiply
    42,171.19x = 92,017.69 × 92,017.69
  4. Step 4: Simplify right side
    42,171.19x = 8,467,254,812.85
  5. Step 5: Solve for x
    x = 8,467,254,812.85/42,171.19
  6. Step 6: Final answer
    x = 200,782.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.