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Finding the Third Proportional to 84,026 and 125,877

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Solution

The third proportional to 84,026 and 125,877 is: 188,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,026 : 125,877 = 125,877 : x
  2. Step 2: Convert to fraction form
    84,026/125,877 = 125,877/x
  3. Step 3: Cross multiply
    84,026x = 125,877 × 125,877
  4. Step 4: Simplify right side
    84,026x = 15,845,019,129
  5. Step 5: Solve for x
    x = 15,845,019,129/84,026
  6. Step 6: Final answer
    x = 188,572.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.