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Finding the Third Proportional to 58,726 and 129,116

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Solution

The third proportional to 58,726 and 129,116 is: 283,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,726 : 129,116 = 129,116 : x
  2. Step 2: Convert to fraction form
    58,726/129,116 = 129,116/x
  3. Step 3: Cross multiply
    58,726x = 129,116 × 129,116
  4. Step 4: Simplify right side
    58,726x = 16,670,941,456
  5. Step 5: Solve for x
    x = 16,670,941,456/58,726
  6. Step 6: Final answer
    x = 283,876.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.