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Finding the Third Proportional to 125,086 and 289,333

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Solution

The third proportional to 125,086 and 289,333 is: 669,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,086 : 289,333 = 289,333 : x
  2. Step 2: Convert to fraction form
    125,086/289,333 = 289,333/x
  3. Step 3: Cross multiply
    125,086x = 289,333 × 289,333
  4. Step 4: Simplify right side
    125,086x = 83,713,584,889
  5. Step 5: Solve for x
    x = 83,713,584,889/125,086
  6. Step 6: Final answer
    x = 669,248.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.