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Finding the Third Proportional to 64,605 and 94,653

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Solution

The third proportional to 64,605 and 94,653 is: 138,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,605 : 94,653 = 94,653 : x
  2. Step 2: Convert to fraction form
    64,605/94,653 = 94,653/x
  3. Step 3: Cross multiply
    64,605x = 94,653 × 94,653
  4. Step 4: Simplify right side
    64,605x = 8,959,190,409
  5. Step 5: Solve for x
    x = 8,959,190,409/64,605
  6. Step 6: Final answer
    x = 138,676.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.