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Finding the Third Proportional to 58,199 and 124,030

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Solution

The third proportional to 58,199 and 124,030 is: 264,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,199 : 124,030 = 124,030 : x
  2. Step 2: Convert to fraction form
    58,199/124,030 = 124,030/x
  3. Step 3: Cross multiply
    58,199x = 124,030 × 124,030
  4. Step 4: Simplify right side
    58,199x = 15,383,440,900
  5. Step 5: Solve for x
    x = 15,383,440,900/58,199
  6. Step 6: Final answer
    x = 264,324.83

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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.