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Finding the Third Proportional to 125,628 and 188,712

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Solution

The third proportional to 125,628 and 188,712 is: 283,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,628 : 188,712 = 188,712 : x
  2. Step 2: Convert to fraction form
    125,628/188,712 = 188,712/x
  3. Step 3: Cross multiply
    125,628x = 188,712 × 188,712
  4. Step 4: Simplify right side
    125,628x = 35,612,218,944
  5. Step 5: Solve for x
    x = 35,612,218,944/125,628
  6. Step 6: Final answer
    x = 283,473.58

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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.