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Finding the Third Proportional to 102,354 and 156,771

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Solution

The third proportional to 102,354 and 156,771 is: 240,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354 : 156,771 = 156,771 : x
  2. Step 2: Convert to fraction form
    102,354/156,771 = 156,771/x
  3. Step 3: Cross multiply
    102,354x = 156,771 × 156,771
  4. Step 4: Simplify right side
    102,354x = 24,577,146,441
  5. Step 5: Solve for x
    x = 24,577,146,441/102,354
  6. Step 6: Final answer
    x = 240,119.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.