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Finding the Third Proportional to 73,718 and 100,877

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Solution

The third proportional to 73,718 and 100,877 is: 138,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,718 : 100,877 = 100,877 : x
  2. Step 2: Convert to fraction form
    73,718/100,877 = 100,877/x
  3. Step 3: Cross multiply
    73,718x = 100,877 × 100,877
  4. Step 4: Simplify right side
    73,718x = 10,176,169,129
  5. Step 5: Solve for x
    x = 10,176,169,129/73,718
  6. Step 6: Final answer
    x = 138,041.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.