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Finding the Third Proportional to 45,248 and 96,505

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Solution

The third proportional to 45,248 and 96,505 is: 205,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,248 : 96,505 = 96,505 : x
  2. Step 2: Convert to fraction form
    45,248/96,505 = 96,505/x
  3. Step 3: Cross multiply
    45,248x = 96,505 × 96,505
  4. Step 4: Simplify right side
    45,248x = 9,313,215,025
  5. Step 5: Solve for x
    x = 9,313,215,025/45,248
  6. Step 6: Final answer
    x = 205,826.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.