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Finding the Third Proportional to 47,653.50 and 99,255

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Solution

The third proportional to 47,653.50 and 99,255 is: 206,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,653.50 : 99,255 = 99,255 : x
  2. Step 2: Convert to fraction form
    47,653.50/99,255 = 99,255/x
  3. Step 3: Cross multiply
    47,653.50x = 99,255 × 99,255
  4. Step 4: Simplify right side
    47,653.50x = 9,851,555,025
  5. Step 5: Solve for x
    x = 9,851,555,025/47,653.50
  6. Step 6: Final answer
    x = 206,733.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.