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Finding the Third Proportional to 95,056 and 139,128

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Solution

The third proportional to 95,056 and 139,128 is: 203,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,056 : 139,128 = 139,128 : x
  2. Step 2: Convert to fraction form
    95,056/139,128 = 139,128/x
  3. Step 3: Cross multiply
    95,056x = 139,128 × 139,128
  4. Step 4: Simplify right side
    95,056x = 19,356,600,384
  5. Step 5: Solve for x
    x = 19,356,600,384/95,056
  6. Step 6: Final answer
    x = 203,633.65

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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.