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Finding the Third Proportional to 64,372 and 94,253

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Solution

The third proportional to 64,372 and 94,253 is: 138,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,372 : 94,253 = 94,253 : x
  2. Step 2: Convert to fraction form
    64,372/94,253 = 94,253/x
  3. Step 3: Cross multiply
    64,372x = 94,253 × 94,253
  4. Step 4: Simplify right side
    64,372x = 8,883,628,009
  5. Step 5: Solve for x
    x = 8,883,628,009/64,372
  6. Step 6: Final answer
    x = 138,004.54

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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.