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Finding the Third Proportional to 60,174 and 126,558

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Solution

The third proportional to 60,174 and 126,558 is: 266,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,174 : 126,558 = 126,558 : x
  2. Step 2: Convert to fraction form
    60,174/126,558 = 126,558/x
  3. Step 3: Cross multiply
    60,174x = 126,558 × 126,558
  4. Step 4: Simplify right side
    60,174x = 16,016,927,364
  5. Step 5: Solve for x
    x = 16,016,927,364/60,174
  6. Step 6: Final answer
    x = 266,176.88

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Why These Related Problems?

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