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Finding the Third Proportional to 102,223 and 156,628

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Solution

The third proportional to 102,223 and 156,628 is: 239,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,223 : 156,628 = 156,628 : x
  2. Step 2: Convert to fraction form
    102,223/156,628 = 156,628/x
  3. Step 3: Cross multiply
    102,223x = 156,628 × 156,628
  4. Step 4: Simplify right side
    102,223x = 24,532,330,384
  5. Step 5: Solve for x
    x = 24,532,330,384/102,223
  6. Step 6: Final answer
    x = 239,988.36

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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.