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Finding the Third Proportional to 129,663 and 191,509

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Solution

The third proportional to 129,663 and 191,509 is: 282,853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,663 : 191,509 = 191,509 : x
  2. Step 2: Convert to fraction form
    129,663/191,509 = 191,509/x
  3. Step 3: Cross multiply
    129,663x = 191,509 × 191,509
  4. Step 4: Simplify right side
    129,663x = 36,675,697,081
  5. Step 5: Solve for x
    x = 36,675,697,081/129,663
  6. Step 6: Final answer
    x = 282,853.99

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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.