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Finding the Third Proportional to 63,834 and 101,031

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Solution

The third proportional to 63,834 and 101,031 is: 159,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,834 : 101,031 = 101,031 : x
  2. Step 2: Convert to fraction form
    63,834/101,031 = 101,031/x
  3. Step 3: Cross multiply
    63,834x = 101,031 × 101,031
  4. Step 4: Simplify right side
    63,834x = 10,207,262,961
  5. Step 5: Solve for x
    x = 10,207,262,961/63,834
  6. Step 6: Final answer
    x = 159,903.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.