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Finding the Third Proportional to 75,232.25 and 114,326

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Solution

The third proportional to 75,232.25 and 114,326 is: 173,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,232.25 : 114,326 = 114,326 : x
  2. Step 2: Convert to fraction form
    75,232.25/114,326 = 114,326/x
  3. Step 3: Cross multiply
    75,232.25x = 114,326 × 114,326
  4. Step 4: Simplify right side
    75,232.25x = 13,070,434,276
  5. Step 5: Solve for x
    x = 13,070,434,276/75,232.25
  6. Step 6: Final answer
    x = 173,734.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.