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Finding the Third Proportional to 125,790 and 186,969

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Solution

The third proportional to 125,790 and 186,969 is: 277,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,790 : 186,969 = 186,969 : x
  2. Step 2: Convert to fraction form
    125,790/186,969 = 186,969/x
  3. Step 3: Cross multiply
    125,790x = 186,969 × 186,969
  4. Step 4: Simplify right side
    125,790x = 34,957,406,961
  5. Step 5: Solve for x
    x = 34,957,406,961/125,790
  6. Step 6: Final answer
    x = 277,902.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.