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Finding the Third Proportional to 119,656 and 259,124

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Solution

The third proportional to 119,656 and 259,124 is: 561,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,656 : 259,124 = 259,124 : x
  2. Step 2: Convert to fraction form
    119,656/259,124 = 259,124/x
  3. Step 3: Cross multiply
    119,656x = 259,124 × 259,124
  4. Step 4: Simplify right side
    119,656x = 67,145,247,376
  5. Step 5: Solve for x
    x = 67,145,247,376/119,656
  6. Step 6: Final answer
    x = 561,152.36

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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.