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Finding the Third Proportional to 63,927.50 and 100,287

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Solution

The third proportional to 63,927.50 and 100,287 is: 157,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,927.50 : 100,287 = 100,287 : x
  2. Step 2: Convert to fraction form
    63,927.50/100,287 = 100,287/x
  3. Step 3: Cross multiply
    63,927.50x = 100,287 × 100,287
  4. Step 4: Simplify right side
    63,927.50x = 10,057,482,369
  5. Step 5: Solve for x
    x = 10,057,482,369/63,927.50
  6. Step 6: Final answer
    x = 157,326.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.