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Finding the Third Proportional to 125,102 and 188,727

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Solution

The third proportional to 125,102 and 188,727 is: 284,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,102 : 188,727 = 188,727 : x
  2. Step 2: Convert to fraction form
    125,102/188,727 = 188,727/x
  3. Step 3: Cross multiply
    125,102x = 188,727 × 188,727
  4. Step 4: Simplify right side
    125,102x = 35,617,880,529
  5. Step 5: Solve for x
    x = 35,617,880,529/125,102
  6. Step 6: Final answer
    x = 284,710.72

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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.