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Finding the Third Proportional to 112,772.25 and 141,243.75

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Solution

The third proportional to 112,772.25 and 141,243.75 is: 176,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,772.25 : 141,243.75 = 141,243.75 : x
  2. Step 2: Convert to fraction form
    112,772.25/141,243.75 = 141,243.75/x
  3. Step 3: Cross multiply
    112,772.25x = 141,243.75 × 141,243.75
  4. Step 4: Simplify right side
    112,772.25x = 19,949,796,914.06
  5. Step 5: Solve for x
    x = 19,949,796,914.06/112,772.25
  6. Step 6: Final answer
    x = 176,903.42

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.