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Finding the Third Proportional to 64,614 and 94,794

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Solution

The third proportional to 64,614 and 94,794 is: 139,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,614 : 94,794 = 94,794 : x
  2. Step 2: Convert to fraction form
    64,614/94,794 = 94,794/x
  3. Step 3: Cross multiply
    64,614x = 94,794 × 94,794
  4. Step 4: Simplify right side
    64,614x = 8,985,902,436
  5. Step 5: Solve for x
    x = 8,985,902,436/64,614
  6. Step 6: Final answer
    x = 139,070.52

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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.