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Finding the Third Proportional to 42,509.81 and 89,629.03

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Solution

The third proportional to 42,509.81 and 89,629.03 is: 188,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,509.81 : 89,629.03 = 89,629.03 : x
  2. Step 2: Convert to fraction form
    42,509.81/89,629.03 = 89,629.03/x
  3. Step 3: Cross multiply
    42,509.81x = 89,629.03 × 89,629.03
  4. Step 4: Simplify right side
    42,509.81x = 8,033,363,242.81
  5. Step 5: Solve for x
    x = 8,033,363,242.81/42,509.81
  6. Step 6: Final answer
    x = 188,976.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.