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Finding the Third Proportional to 35,148.56 and 75,911.25

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Solution

The third proportional to 35,148.56 and 75,911.25 is: 163,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,148.56 : 75,911.25 = 75,911.25 : x
  2. Step 2: Convert to fraction form
    35,148.56/75,911.25 = 75,911.25/x
  3. Step 3: Cross multiply
    35,148.56x = 75,911.25 × 75,911.25
  4. Step 4: Simplify right side
    35,148.56x = 5,762,517,876.56
  5. Step 5: Solve for x
    x = 5,762,517,876.56/35,148.56
  6. Step 6: Final answer
    x = 163,947.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.