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Finding the Third Proportional to 71,268.75 and 112,844.25

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Solution

The third proportional to 71,268.75 and 112,844.25 is: 178,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,268.75 : 112,844.25 = 112,844.25 : x
  2. Step 2: Convert to fraction form
    71,268.75/112,844.25 = 112,844.25/x
  3. Step 3: Cross multiply
    71,268.75x = 112,844.25 × 112,844.25
  4. Step 4: Simplify right side
    71,268.75x = 12,733,824,758.06
  5. Step 5: Solve for x
    x = 12,733,824,758.06/71,268.75
  6. Step 6: Final answer
    x = 178,673.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.