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Finding the Third Proportional to 101,915 and 149,877

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Solution

The third proportional to 101,915 and 149,877 is: 220,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,915 : 149,877 = 149,877 : x
  2. Step 2: Convert to fraction form
    101,915/149,877 = 149,877/x
  3. Step 3: Cross multiply
    101,915x = 149,877 × 149,877
  4. Step 4: Simplify right side
    101,915x = 22,463,115,129
  5. Step 5: Solve for x
    x = 22,463,115,129/101,915
  6. Step 6: Final answer
    x = 220,410.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.