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Finding the Third Proportional to 125,095 and 188,726

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Solution

The third proportional to 125,095 and 188,726 is: 284,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,095 : 188,726 = 188,726 : x
  2. Step 2: Convert to fraction form
    125,095/188,726 = 188,726/x
  3. Step 3: Cross multiply
    125,095x = 188,726 × 188,726
  4. Step 4: Simplify right side
    125,095x = 35,617,503,076
  5. Step 5: Solve for x
    x = 35,617,503,076/125,095
  6. Step 6: Final answer
    x = 284,723.63

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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.