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Finding the Third Proportional to 43,050 and 58,146

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Solution

The third proportional to 43,050 and 58,146 is: 78,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,050 : 58,146 = 58,146 : x
  2. Step 2: Convert to fraction form
    43,050/58,146 = 58,146/x
  3. Step 3: Cross multiply
    43,050x = 58,146 × 58,146
  4. Step 4: Simplify right side
    43,050x = 3,380,957,316
  5. Step 5: Solve for x
    x = 3,380,957,316/43,050
  6. Step 6: Final answer
    x = 78,535.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.