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Finding the Third Proportional to 48,681 and 103,634

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Solution

The third proportional to 48,681 and 103,634 is: 220,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681 : 103,634 = 103,634 : x
  2. Step 2: Convert to fraction form
    48,681/103,634 = 103,634/x
  3. Step 3: Cross multiply
    48,681x = 103,634 × 103,634
  4. Step 4: Simplify right side
    48,681x = 10,740,005,956
  5. Step 5: Solve for x
    x = 10,740,005,956/48,681
  6. Step 6: Final answer
    x = 220,620.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.