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Finding the Third Proportional to 42,549 and 93,025.50

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Solution

The third proportional to 42,549 and 93,025.50 is: 203,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,549 : 93,025.50 = 93,025.50 : x
  2. Step 2: Convert to fraction form
    42,549/93,025.50 = 93,025.50/x
  3. Step 3: Cross multiply
    42,549x = 93,025.50 × 93,025.50
  4. Step 4: Simplify right side
    42,549x = 8,653,743,650.25
  5. Step 5: Solve for x
    x = 8,653,743,650.25/42,549
  6. Step 6: Final answer
    x = 203,383.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.