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Finding the Third Proportional to 64,296 and 94,579

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Solution

The third proportional to 64,296 and 94,579 is: 139,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,296 : 94,579 = 94,579 : x
  2. Step 2: Convert to fraction form
    64,296/94,579 = 94,579/x
  3. Step 3: Cross multiply
    64,296x = 94,579 × 94,579
  4. Step 4: Simplify right side
    64,296x = 8,945,187,241
  5. Step 5: Solve for x
    x = 8,945,187,241/64,296
  6. Step 6: Final answer
    x = 139,125.10

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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.