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Finding the Third Proportional to 64,378 and 94,262

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Solution

The third proportional to 64,378 and 94,262 is: 138,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,378 : 94,262 = 94,262 : x
  2. Step 2: Convert to fraction form
    64,378/94,262 = 94,262/x
  3. Step 3: Cross multiply
    64,378x = 94,262 × 94,262
  4. Step 4: Simplify right side
    64,378x = 8,885,324,644
  5. Step 5: Solve for x
    x = 8,885,324,644/64,378
  6. Step 6: Final answer
    x = 138,018.03

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Why These Related Problems?

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