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Finding the Third Proportional to 63,831 and 101,026.50

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Solution

The third proportional to 63,831 and 101,026.50 is: 159,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,831 : 101,026.50 = 101,026.50 : x
  2. Step 2: Convert to fraction form
    63,831/101,026.50 = 101,026.50/x
  3. Step 3: Cross multiply
    63,831x = 101,026.50 × 101,026.50
  4. Step 4: Simplify right side
    63,831x = 10,206,353,702.25
  5. Step 5: Solve for x
    x = 10,206,353,702.25/63,831
  6. Step 6: Final answer
    x = 159,896.50

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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.