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Finding the Third Proportional to 58,262 and 124,150

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Solution

The third proportional to 58,262 and 124,150 is: 264,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,262 : 124,150 = 124,150 : x
  2. Step 2: Convert to fraction form
    58,262/124,150 = 124,150/x
  3. Step 3: Cross multiply
    58,262x = 124,150 × 124,150
  4. Step 4: Simplify right side
    58,262x = 15,413,222,500
  5. Step 5: Solve for x
    x = 15,413,222,500/58,262
  6. Step 6: Final answer
    x = 264,550.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.