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Finding the Third Proportional to 64,644 and 94,839

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Solution

The third proportional to 64,644 and 94,839 is: 139,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,644 : 94,839 = 94,839 : x
  2. Step 2: Convert to fraction form
    64,644/94,839 = 94,839/x
  3. Step 3: Cross multiply
    64,644x = 94,839 × 94,839
  4. Step 4: Simplify right side
    64,644x = 8,994,435,921
  5. Step 5: Solve for x
    x = 8,994,435,921/64,644
  6. Step 6: Final answer
    x = 139,137.99

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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.