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Finding the Third Proportional to 102,861 and 154,291

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Solution

The third proportional to 102,861 and 154,291 is: 231,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,861 : 154,291 = 154,291 : x
  2. Step 2: Convert to fraction form
    102,861/154,291 = 154,291/x
  3. Step 3: Cross multiply
    102,861x = 154,291 × 154,291
  4. Step 4: Simplify right side
    102,861x = 23,805,712,681
  5. Step 5: Solve for x
    x = 23,805,712,681/102,861
  6. Step 6: Final answer
    x = 231,435.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.