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Finding the Third Proportional to 53,439.75 and 91,226.25

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Solution

The third proportional to 53,439.75 and 91,226.25 is: 155,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,439.75 : 91,226.25 = 91,226.25 : x
  2. Step 2: Convert to fraction form
    53,439.75/91,226.25 = 91,226.25/x
  3. Step 3: Cross multiply
    53,439.75x = 91,226.25 × 91,226.25
  4. Step 4: Simplify right side
    53,439.75x = 8,322,228,689.06
  5. Step 5: Solve for x
    x = 8,322,228,689.06/53,439.75
  6. Step 6: Final answer
    x = 155,731.06

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.