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Finding the Third Proportional to 43,644 and 94,248

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Solution

The third proportional to 43,644 and 94,248 is: 203,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,644 : 94,248 = 94,248 : x
  2. Step 2: Convert to fraction form
    43,644/94,248 = 94,248/x
  3. Step 3: Cross multiply
    43,644x = 94,248 × 94,248
  4. Step 4: Simplify right side
    43,644x = 8,882,685,504
  5. Step 5: Solve for x
    x = 8,882,685,504/43,644
  6. Step 6: Final answer
    x = 203,525.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.