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Finding the Third Proportional to 42,564 and 91,623

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Solution

The third proportional to 42,564 and 91,623 is: 197,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564 : 91,623 = 91,623 : x
  2. Step 2: Convert to fraction form
    42,564/91,623 = 91,623/x
  3. Step 3: Cross multiply
    42,564x = 91,623 × 91,623
  4. Step 4: Simplify right side
    42,564x = 8,394,774,129
  5. Step 5: Solve for x
    x = 8,394,774,129/42,564
  6. Step 6: Final answer
    x = 197,227.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.