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Finding the Third Proportional to 112,772.25 and 243,173.25

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Solution

The third proportional to 112,772.25 and 243,173.25 is: 524,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,772.25 : 243,173.25 = 243,173.25 : x
  2. Step 2: Convert to fraction form
    112,772.25/243,173.25 = 243,173.25/x
  3. Step 3: Cross multiply
    112,772.25x = 243,173.25 × 243,173.25
  4. Step 4: Simplify right side
    112,772.25x = 59,133,229,515.56
  5. Step 5: Solve for x
    x = 59,133,229,515.56/112,772.25
  6. Step 6: Final answer
    x = 524,359.76

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Why These Related Problems?

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