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Finding the Third Proportional to 125,136 and 188,766

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Solution

The third proportional to 125,136 and 188,766 is: 284,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,136 : 188,766 = 188,766 : x
  2. Step 2: Convert to fraction form
    125,136/188,766 = 188,766/x
  3. Step 3: Cross multiply
    125,136x = 188,766 × 188,766
  4. Step 4: Simplify right side
    125,136x = 35,632,602,756
  5. Step 5: Solve for x
    x = 35,632,602,756/125,136
  6. Step 6: Final answer
    x = 284,751.01

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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.