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Finding the Third Proportional to 102,762 and 159,030

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Solution

The third proportional to 102,762 and 159,030 is: 246,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762 : 159,030 = 159,030 : x
  2. Step 2: Convert to fraction form
    102,762/159,030 = 159,030/x
  3. Step 3: Cross multiply
    102,762x = 159,030 × 159,030
  4. Step 4: Simplify right side
    102,762x = 25,290,540,900
  5. Step 5: Solve for x
    x = 25,290,540,900/102,762
  6. Step 6: Final answer
    x = 246,107.91

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Why These Related Problems?

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