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Finding the Third Proportional to 107,882 and 163,319

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Solution

The third proportional to 107,882 and 163,319 is: 247,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,882 : 163,319 = 163,319 : x
  2. Step 2: Convert to fraction form
    107,882/163,319 = 163,319/x
  3. Step 3: Cross multiply
    107,882x = 163,319 × 163,319
  4. Step 4: Simplify right side
    107,882x = 26,673,095,761
  5. Step 5: Solve for x
    x = 26,673,095,761/107,882
  6. Step 6: Final answer
    x = 247,243.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.