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Finding the Third Proportional to 125,656 and 188,754

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Solution

The third proportional to 125,656 and 188,754 is: 283,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,656 : 188,754 = 188,754 : x
  2. Step 2: Convert to fraction form
    125,656/188,754 = 188,754/x
  3. Step 3: Cross multiply
    125,656x = 188,754 × 188,754
  4. Step 4: Simplify right side
    125,656x = 35,628,072,516
  5. Step 5: Solve for x
    x = 35,628,072,516/125,656
  6. Step 6: Final answer
    x = 283,536.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.