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Finding the Third Proportional to 58,694 and 124,660

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Solution

The third proportional to 58,694 and 124,660 is: 264,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,694 : 124,660 = 124,660 : x
  2. Step 2: Convert to fraction form
    58,694/124,660 = 124,660/x
  3. Step 3: Cross multiply
    58,694x = 124,660 × 124,660
  4. Step 4: Simplify right side
    58,694x = 15,540,115,600
  5. Step 5: Solve for x
    x = 15,540,115,600/58,694
  6. Step 6: Final answer
    x = 264,764.98

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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.