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Finding the Third Proportional to 67,861 and 89,237

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Solution

The third proportional to 67,861 and 89,237 is: 117,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,861 : 89,237 = 89,237 : x
  2. Step 2: Convert to fraction form
    67,861/89,237 = 89,237/x
  3. Step 3: Cross multiply
    67,861x = 89,237 × 89,237
  4. Step 4: Simplify right side
    67,861x = 7,963,242,169
  5. Step 5: Solve for x
    x = 7,963,242,169/67,861
  6. Step 6: Final answer
    x = 117,346.37

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.