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Finding the Third Proportional to 42,617 and 94,549

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Solution

The third proportional to 42,617 and 94,549 is: 209,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,617 : 94,549 = 94,549 : x
  2. Step 2: Convert to fraction form
    42,617/94,549 = 94,549/x
  3. Step 3: Cross multiply
    42,617x = 94,549 × 94,549
  4. Step 4: Simplify right side
    42,617x = 8,939,513,401
  5. Step 5: Solve for x
    x = 8,939,513,401/42,617
  6. Step 6: Final answer
    x = 209,764.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.