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Finding the Third Proportional to 119,657 and 259,126

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Solution

The third proportional to 119,657 and 259,126 is: 561,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,657 : 259,126 = 259,126 : x
  2. Step 2: Convert to fraction form
    119,657/259,126 = 259,126/x
  3. Step 3: Cross multiply
    119,657x = 259,126 × 259,126
  4. Step 4: Simplify right side
    119,657x = 67,146,283,876
  5. Step 5: Solve for x
    x = 67,146,283,876/119,657
  6. Step 6: Final answer
    x = 561,156.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.