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Finding the Third Proportional to 59,608 and 124,112

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Solution

The third proportional to 59,608 and 124,112 is: 258,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,608 : 124,112 = 124,112 : x
  2. Step 2: Convert to fraction form
    59,608/124,112 = 124,112/x
  3. Step 3: Cross multiply
    59,608x = 124,112 × 124,112
  4. Step 4: Simplify right side
    59,608x = 15,403,788,544
  5. Step 5: Solve for x
    x = 15,403,788,544/59,608
  6. Step 6: Final answer
    x = 258,418.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.