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Finding the Third Proportional to 58,616 and 124,208

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Solution

The third proportional to 58,616 and 124,208 is: 263,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,616 : 124,208 = 124,208 : x
  2. Step 2: Convert to fraction form
    58,616/124,208 = 124,208/x
  3. Step 3: Cross multiply
    58,616x = 124,208 × 124,208
  4. Step 4: Simplify right side
    58,616x = 15,427,627,264
  5. Step 5: Solve for x
    x = 15,427,627,264/58,616
  6. Step 6: Final answer
    x = 263,198.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.