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Finding the Third Proportional to 58,965 and 123,396

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Solution

The third proportional to 58,965 and 123,396 is: 258,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,965 : 123,396 = 123,396 : x
  2. Step 2: Convert to fraction form
    58,965/123,396 = 123,396/x
  3. Step 3: Cross multiply
    58,965x = 123,396 × 123,396
  4. Step 4: Simplify right side
    58,965x = 15,226,572,816
  5. Step 5: Solve for x
    x = 15,226,572,816/58,965
  6. Step 6: Final answer
    x = 258,230.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.