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Finding the Third Proportional to 102,213 and 156,613

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Solution

The third proportional to 102,213 and 156,613 is: 239,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213 : 156,613 = 156,613 : x
  2. Step 2: Convert to fraction form
    102,213/156,613 = 156,613/x
  3. Step 3: Cross multiply
    102,213x = 156,613 × 156,613
  4. Step 4: Simplify right side
    102,213x = 24,527,631,769
  5. Step 5: Solve for x
    x = 24,527,631,769/102,213
  6. Step 6: Final answer
    x = 239,965.87

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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.