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Finding the Third Proportional to 124,393 and 265,739

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Solution

The third proportional to 124,393 and 265,739 is: 567,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,393 : 265,739 = 265,739 : x
  2. Step 2: Convert to fraction form
    124,393/265,739 = 265,739/x
  3. Step 3: Cross multiply
    124,393x = 265,739 × 265,739
  4. Step 4: Simplify right side
    124,393x = 70,617,216,121
  5. Step 5: Solve for x
    x = 70,617,216,121/124,393
  6. Step 6: Final answer
    x = 567,694.45

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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.