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Finding the Third Proportional to 48,877 and 106,501

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Solution

The third proportional to 48,877 and 106,501 is: 232,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,877 : 106,501 = 106,501 : x
  2. Step 2: Convert to fraction form
    48,877/106,501 = 106,501/x
  3. Step 3: Cross multiply
    48,877x = 106,501 × 106,501
  4. Step 4: Simplify right side
    48,877x = 11,342,463,001
  5. Step 5: Solve for x
    x = 11,342,463,001/48,877
  6. Step 6: Final answer
    x = 232,061.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.