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Finding the Third Proportional to 107,287.50 and 145,710.75

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Solution

The third proportional to 107,287.50 and 145,710.75 is: 197,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,287.50 : 145,710.75 = 145,710.75 : x
  2. Step 2: Convert to fraction form
    107,287.50/145,710.75 = 145,710.75/x
  3. Step 3: Cross multiply
    107,287.50x = 145,710.75 × 145,710.75
  4. Step 4: Simplify right side
    107,287.50x = 21,231,622,665.56
  5. Step 5: Solve for x
    x = 21,231,622,665.56/107,287.50
  6. Step 6: Final answer
    x = 197,894.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.