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Finding the Third Proportional to 102,915 and 154,620

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Solution

The third proportional to 102,915 and 154,620 is: 232,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,915 : 154,620 = 154,620 : x
  2. Step 2: Convert to fraction form
    102,915/154,620 = 154,620/x
  3. Step 3: Cross multiply
    102,915x = 154,620 × 154,620
  4. Step 4: Simplify right side
    102,915x = 23,907,344,400
  5. Step 5: Solve for x
    x = 23,907,344,400/102,915
  6. Step 6: Final answer
    x = 232,301.85

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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.