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Finding the Third Proportional to 58,231 and 124,088

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Solution

The third proportional to 58,231 and 124,088 is: 264,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,231 : 124,088 = 124,088 : x
  2. Step 2: Convert to fraction form
    58,231/124,088 = 124,088/x
  3. Step 3: Cross multiply
    58,231x = 124,088 × 124,088
  4. Step 4: Simplify right side
    58,231x = 15,397,831,744
  5. Step 5: Solve for x
    x = 15,397,831,744/58,231
  6. Step 6: Final answer
    x = 264,426.71

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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.