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Finding the Third Proportional to 34,126.31 and 73,191.94

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Solution

The third proportional to 34,126.31 and 73,191.94 is: 156,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,126.31 : 73,191.94 = 73,191.94 : x
  2. Step 2: Convert to fraction form
    34,126.31/73,191.94 = 73,191.94/x
  3. Step 3: Cross multiply
    34,126.31x = 73,191.94 × 73,191.94
  4. Step 4: Simplify right side
    34,126.31x = 5,357,059,715.00
  5. Step 5: Solve for x
    x = 5,357,059,715.00/34,126.31
  6. Step 6: Final answer
    x = 156,977.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.