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Finding the Third Proportional to 105,717 and 163,623

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Solution

The third proportional to 105,717 and 163,623 is: 253,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,717 : 163,623 = 163,623 : x
  2. Step 2: Convert to fraction form
    105,717/163,623 = 163,623/x
  3. Step 3: Cross multiply
    105,717x = 163,623 × 163,623
  4. Step 4: Simplify right side
    105,717x = 26,772,486,129
  5. Step 5: Solve for x
    x = 26,772,486,129/105,717
  6. Step 6: Final answer
    x = 253,246.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.