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Finding the Third Proportional to 43,064 and 94,646

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Solution

The third proportional to 43,064 and 94,646 is: 208,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,064 : 94,646 = 94,646 : x
  2. Step 2: Convert to fraction form
    43,064/94,646 = 94,646/x
  3. Step 3: Cross multiply
    43,064x = 94,646 × 94,646
  4. Step 4: Simplify right side
    43,064x = 8,957,865,316
  5. Step 5: Solve for x
    x = 8,957,865,316/43,064
  6. Step 6: Final answer
    x = 208,012.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.