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Finding the Third Proportional to 58,479 and 123,071

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Solution

The third proportional to 58,479 and 123,071 is: 259,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,479 : 123,071 = 123,071 : x
  2. Step 2: Convert to fraction form
    58,479/123,071 = 123,071/x
  3. Step 3: Cross multiply
    58,479x = 123,071 × 123,071
  4. Step 4: Simplify right side
    58,479x = 15,146,471,041
  5. Step 5: Solve for x
    x = 15,146,471,041/58,479
  6. Step 6: Final answer
    x = 259,007.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.