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Finding the Third Proportional to 63,050 and 95,886

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Solution

The third proportional to 63,050 and 95,886 is: 145,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,050 : 95,886 = 95,886 : x
  2. Step 2: Convert to fraction form
    63,050/95,886 = 95,886/x
  3. Step 3: Cross multiply
    63,050x = 95,886 × 95,886
  4. Step 4: Simplify right side
    63,050x = 9,194,124,996
  5. Step 5: Solve for x
    x = 9,194,124,996/63,050
  6. Step 6: Final answer
    x = 145,822.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.