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Finding the Third Proportional to 42,457.75 and 89,972.75

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Solution

The third proportional to 42,457.75 and 89,972.75 is: 190,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457.75 : 89,972.75 = 89,972.75 : x
  2. Step 2: Convert to fraction form
    42,457.75/89,972.75 = 89,972.75/x
  3. Step 3: Cross multiply
    42,457.75x = 89,972.75 × 89,972.75
  4. Step 4: Simplify right side
    42,457.75x = 8,095,095,742.56
  5. Step 5: Solve for x
    x = 8,095,095,742.56/42,457.75
  6. Step 6: Final answer
    x = 190,662.38

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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.