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Finding the Third Proportional to 42,529.50 and 92,335.50

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Solution

The third proportional to 42,529.50 and 92,335.50 is: 200,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,529.50 : 92,335.50 = 92,335.50 : x
  2. Step 2: Convert to fraction form
    42,529.50/92,335.50 = 92,335.50/x
  3. Step 3: Cross multiply
    42,529.50x = 92,335.50 × 92,335.50
  4. Step 4: Simplify right side
    42,529.50x = 8,525,844,560.25
  5. Step 5: Solve for x
    x = 8,525,844,560.25/42,529.50
  6. Step 6: Final answer
    x = 200,468.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.