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Finding the Third Proportional to 35,165.50 and 74,943.75

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Solution

The third proportional to 35,165.50 and 74,943.75 is: 159,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,165.50 : 74,943.75 = 74,943.75 : x
  2. Step 2: Convert to fraction form
    35,165.50/74,943.75 = 74,943.75/x
  3. Step 3: Cross multiply
    35,165.50x = 74,943.75 × 74,943.75
  4. Step 4: Simplify right side
    35,165.50x = 5,616,565,664.06
  5. Step 5: Solve for x
    x = 5,616,565,664.06/35,165.50
  6. Step 6: Final answer
    x = 159,718.07

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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.