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Finding the Third Proportional to 109,896.75 and 145,162.13

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Solution

The third proportional to 109,896.75 and 145,162.13 is: 191,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.75 : 145,162.13 = 145,162.13 : x
  2. Step 2: Convert to fraction form
    109,896.75/145,162.13 = 145,162.13/x
  3. Step 3: Cross multiply
    109,896.75x = 145,162.13 × 145,162.13
  4. Step 4: Simplify right side
    109,896.75x = 21,072,042,534.52
  5. Step 5: Solve for x
    x = 21,072,042,534.52/109,896.75
  6. Step 6: Final answer
    x = 191,744.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.