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Finding the Third Proportional to 125,176 and 188,826

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Solution

The third proportional to 125,176 and 188,826 is: 284,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,176 : 188,826 = 188,826 : x
  2. Step 2: Convert to fraction form
    125,176/188,826 = 188,826/x
  3. Step 3: Cross multiply
    125,176x = 188,826 × 188,826
  4. Step 4: Simplify right side
    125,176x = 35,655,258,276
  5. Step 5: Solve for x
    x = 35,655,258,276/125,176
  6. Step 6: Final answer
    x = 284,841.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.