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Finding the Third Proportional to 48,523 and 102,877

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Solution

The third proportional to 48,523 and 102,877 is: 218,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,523 : 102,877 = 102,877 : x
  2. Step 2: Convert to fraction form
    48,523/102,877 = 102,877/x
  3. Step 3: Cross multiply
    48,523x = 102,877 × 102,877
  4. Step 4: Simplify right side
    48,523x = 10,583,677,129
  5. Step 5: Solve for x
    x = 10,583,677,129/48,523
  6. Step 6: Final answer
    x = 218,116.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.