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Finding the Third Proportional to 125,694 and 287,166

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Solution

The third proportional to 125,694 and 287,166 is: 656,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,694 : 287,166 = 287,166 : x
  2. Step 2: Convert to fraction form
    125,694/287,166 = 287,166/x
  3. Step 3: Cross multiply
    125,694x = 287,166 × 287,166
  4. Step 4: Simplify right side
    125,694x = 82,464,311,556
  5. Step 5: Solve for x
    x = 82,464,311,556/125,694
  6. Step 6: Final answer
    x = 656,071.98

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.