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Finding the Third Proportional to 48,663 and 105,634

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Solution

The third proportional to 48,663 and 105,634 is: 229,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,663 : 105,634 = 105,634 : x
  2. Step 2: Convert to fraction form
    48,663/105,634 = 105,634/x
  3. Step 3: Cross multiply
    48,663x = 105,634 × 105,634
  4. Step 4: Simplify right side
    48,663x = 11,158,541,956
  5. Step 5: Solve for x
    x = 11,158,541,956/48,663
  6. Step 6: Final answer
    x = 229,302.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.