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Finding the Third Proportional to 58,269 and 125,034

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Solution

The third proportional to 58,269 and 125,034 is: 268,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,269 : 125,034 = 125,034 : x
  2. Step 2: Convert to fraction form
    58,269/125,034 = 125,034/x
  3. Step 3: Cross multiply
    58,269x = 125,034 × 125,034
  4. Step 4: Simplify right side
    58,269x = 15,633,501,156
  5. Step 5: Solve for x
    x = 15,633,501,156/58,269
  6. Step 6: Final answer
    x = 268,298.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.