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Finding the Third Proportional to 42,149.25 and 89,484.75

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Solution

The third proportional to 42,149.25 and 89,484.75 is: 189,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,149.25 : 89,484.75 = 89,484.75 : x
  2. Step 2: Convert to fraction form
    42,149.25/89,484.75 = 89,484.75/x
  3. Step 3: Cross multiply
    42,149.25x = 89,484.75 × 89,484.75
  4. Step 4: Simplify right side
    42,149.25x = 8,007,520,482.56
  5. Step 5: Solve for x
    x = 8,007,520,482.56/42,149.25
  6. Step 6: Final answer
    x = 189,980.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.