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Finding the Third Proportional to 93,896.50 and 145,612

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Solution

The third proportional to 93,896.50 and 145,612 is: 225,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,896.50 : 145,612 = 145,612 : x
  2. Step 2: Convert to fraction form
    93,896.50/145,612 = 145,612/x
  3. Step 3: Cross multiply
    93,896.50x = 145,612 × 145,612
  4. Step 4: Simplify right side
    93,896.50x = 21,202,854,544
  5. Step 5: Solve for x
    x = 21,202,854,544/93,896.50
  6. Step 6: Final answer
    x = 225,810.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.