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Finding the Third Proportional to 102,935 and 154,650

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Solution

The third proportional to 102,935 and 154,650 is: 232,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,935 : 154,650 = 154,650 : x
  2. Step 2: Convert to fraction form
    102,935/154,650 = 154,650/x
  3. Step 3: Cross multiply
    102,935x = 154,650 × 154,650
  4. Step 4: Simplify right side
    102,935x = 23,916,622,500
  5. Step 5: Solve for x
    x = 23,916,622,500/102,935
  6. Step 6: Final answer
    x = 232,346.85

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Why These Related Problems?

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