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Finding the Third Proportional to 40,564 and 94,242

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Solution

The third proportional to 40,564 and 94,242 is: 218,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,564 : 94,242 = 94,242 : x
  2. Step 2: Convert to fraction form
    40,564/94,242 = 94,242/x
  3. Step 3: Cross multiply
    40,564x = 94,242 × 94,242
  4. Step 4: Simplify right side
    40,564x = 8,881,554,564
  5. Step 5: Solve for x
    x = 8,881,554,564/40,564
  6. Step 6: Final answer
    x = 218,951.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.