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Finding the Third Proportional to 124,150 and 265,796

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Solution

The third proportional to 124,150 and 265,796 is: 569,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,150 : 265,796 = 265,796 : x
  2. Step 2: Convert to fraction form
    124,150/265,796 = 265,796/x
  3. Step 3: Cross multiply
    124,150x = 265,796 × 265,796
  4. Step 4: Simplify right side
    124,150x = 70,647,513,616
  5. Step 5: Solve for x
    x = 70,647,513,616/124,150
  6. Step 6: Final answer
    x = 569,049.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.