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Finding the Third Proportional to 58,179 and 126,726

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Solution

The third proportional to 58,179 and 126,726 is: 276,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,179 : 126,726 = 126,726 : x
  2. Step 2: Convert to fraction form
    58,179/126,726 = 126,726/x
  3. Step 3: Cross multiply
    58,179x = 126,726 × 126,726
  4. Step 4: Simplify right side
    58,179x = 16,059,479,076
  5. Step 5: Solve for x
    x = 16,059,479,076/58,179
  6. Step 6: Final answer
    x = 276,035.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.