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Finding the Third Proportional to 129,663 and 191,511

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Solution

The third proportional to 129,663 and 191,511 is: 282,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,663 : 191,511 = 191,511 : x
  2. Step 2: Convert to fraction form
    129,663/191,511 = 191,511/x
  3. Step 3: Cross multiply
    129,663x = 191,511 × 191,511
  4. Step 4: Simplify right side
    129,663x = 36,676,463,121
  5. Step 5: Solve for x
    x = 36,676,463,121/129,663
  6. Step 6: Final answer
    x = 282,859.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.