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Finding the Third Proportional to 67,388 and 105,706

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Solution

The third proportional to 67,388 and 105,706 is: 165,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,388 : 105,706 = 105,706 : x
  2. Step 2: Convert to fraction form
    67,388/105,706 = 105,706/x
  3. Step 3: Cross multiply
    67,388x = 105,706 × 105,706
  4. Step 4: Simplify right side
    67,388x = 11,173,758,436
  5. Step 5: Solve for x
    x = 11,173,758,436/67,388
  6. Step 6: Final answer
    x = 165,812.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.