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Finding the Third Proportional to 58,974 and 131,124

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Solution

The third proportional to 58,974 and 131,124 is: 291,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,974 : 131,124 = 131,124 : x
  2. Step 2: Convert to fraction form
    58,974/131,124 = 131,124/x
  3. Step 3: Cross multiply
    58,974x = 131,124 × 131,124
  4. Step 4: Simplify right side
    58,974x = 17,193,503,376
  5. Step 5: Solve for x
    x = 17,193,503,376/58,974
  6. Step 6: Final answer
    x = 291,543.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.