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Finding the Third Proportional to 42,261 and 90,519

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Solution

The third proportional to 42,261 and 90,519 is: 193,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,261 : 90,519 = 90,519 : x
  2. Step 2: Convert to fraction form
    42,261/90,519 = 90,519/x
  3. Step 3: Cross multiply
    42,261x = 90,519 × 90,519
  4. Step 4: Simplify right side
    42,261x = 8,193,689,361
  5. Step 5: Solve for x
    x = 8,193,689,361/42,261
  6. Step 6: Final answer
    x = 193,883.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.