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Finding the Third Proportional to 125,748 and 188,622

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Solution

The third proportional to 125,748 and 188,622 is: 282,933

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,748 : 188,622 = 188,622 : x
  2. Step 2: Convert to fraction form
    125,748/188,622 = 188,622/x
  3. Step 3: Cross multiply
    125,748x = 188,622 × 188,622
  4. Step 4: Simplify right side
    125,748x = 35,578,258,884
  5. Step 5: Solve for x
    x = 35,578,258,884/125,748
  6. Step 6: Final answer
    x = 282,933

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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.