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Finding the Third Proportional to 45,517 and 99,024

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Solution

The third proportional to 45,517 and 99,024 is: 215,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,517 : 99,024 = 99,024 : x
  2. Step 2: Convert to fraction form
    45,517/99,024 = 99,024/x
  3. Step 3: Cross multiply
    45,517x = 99,024 × 99,024
  4. Step 4: Simplify right side
    45,517x = 9,805,752,576
  5. Step 5: Solve for x
    x = 9,805,752,576/45,517
  6. Step 6: Final answer
    x = 215,430.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.