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Finding the Third Proportional to 59,398 and 124,556

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Solution

The third proportional to 59,398 and 124,556 is: 261,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,398 : 124,556 = 124,556 : x
  2. Step 2: Convert to fraction form
    59,398/124,556 = 124,556/x
  3. Step 3: Cross multiply
    59,398x = 124,556 × 124,556
  4. Step 4: Simplify right side
    59,398x = 15,514,197,136
  5. Step 5: Solve for x
    x = 15,514,197,136/59,398
  6. Step 6: Final answer
    x = 261,190.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.