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Finding the Third Proportional to 102,248 and 156,944

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Solution

The third proportional to 102,248 and 156,944 is: 240,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,248 : 156,944 = 156,944 : x
  2. Step 2: Convert to fraction form
    102,248/156,944 = 156,944/x
  3. Step 3: Cross multiply
    102,248x = 156,944 × 156,944
  4. Step 4: Simplify right side
    102,248x = 24,631,419,136
  5. Step 5: Solve for x
    x = 24,631,419,136/102,248
  6. Step 6: Final answer
    x = 240,898.79

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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.