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Finding the Third Proportional to 67,388 and 105,396

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Solution

The third proportional to 67,388 and 105,396 is: 164,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,388 : 105,396 = 105,396 : x
  2. Step 2: Convert to fraction form
    67,388/105,396 = 105,396/x
  3. Step 3: Cross multiply
    67,388x = 105,396 × 105,396
  4. Step 4: Simplify right side
    67,388x = 11,108,316,816
  5. Step 5: Solve for x
    x = 11,108,316,816/67,388
  6. Step 6: Final answer
    x = 164,841.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.