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Finding the Third Proportional to 58,756 and 129,176

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Solution

The third proportional to 58,756 and 129,176 is: 283,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,756 : 129,176 = 129,176 : x
  2. Step 2: Convert to fraction form
    58,756/129,176 = 129,176/x
  3. Step 3: Cross multiply
    58,756x = 129,176 × 129,176
  4. Step 4: Simplify right side
    58,756x = 16,686,438,976
  5. Step 5: Solve for x
    x = 16,686,438,976/58,756
  6. Step 6: Final answer
    x = 283,995.49

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