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Finding the Third Proportional to 58,197 and 124,026

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Solution

The third proportional to 58,197 and 124,026 is: 264,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,197 : 124,026 = 124,026 : x
  2. Step 2: Convert to fraction form
    58,197/124,026 = 124,026/x
  3. Step 3: Cross multiply
    58,197x = 124,026 × 124,026
  4. Step 4: Simplify right side
    58,197x = 15,382,448,676
  5. Step 5: Solve for x
    x = 15,382,448,676/58,197
  6. Step 6: Final answer
    x = 264,316.87

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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.