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Finding the Third Proportional to 42,949.24 and 91,602.52

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Solution

The third proportional to 42,949.24 and 91,602.52 is: 195,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,949.24 : 91,602.52 = 91,602.52 : x
  2. Step 2: Convert to fraction form
    42,949.24/91,602.52 = 91,602.52/x
  3. Step 3: Cross multiply
    42,949.24x = 91,602.52 × 91,602.52
  4. Step 4: Simplify right side
    42,949.24x = 8,391,021,003.01
  5. Step 5: Solve for x
    x = 8,391,021,003.01/42,949.24
  6. Step 6: Final answer
    x = 195,370.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.