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Finding the Third Proportional to 64,957 and 95,131.50

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Solution

The third proportional to 64,957 and 95,131.50 is: 139,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,957 : 95,131.50 = 95,131.50 : x
  2. Step 2: Convert to fraction form
    64,957/95,131.50 = 95,131.50/x
  3. Step 3: Cross multiply
    64,957x = 95,131.50 × 95,131.50
  4. Step 4: Simplify right side
    64,957x = 9,050,002,292.25
  5. Step 5: Solve for x
    x = 9,050,002,292.25/64,957
  6. Step 6: Final answer
    x = 139,322.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.