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Finding the Third Proportional to 107,569 and 143,672

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Solution

The third proportional to 107,569 and 143,672 is: 191,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,569 : 143,672 = 143,672 : x
  2. Step 2: Convert to fraction form
    107,569/143,672 = 143,672/x
  3. Step 3: Cross multiply
    107,569x = 143,672 × 143,672
  4. Step 4: Simplify right side
    107,569x = 20,641,643,584
  5. Step 5: Solve for x
    x = 20,641,643,584/107,569
  6. Step 6: Final answer
    x = 191,892.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.