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Finding the Third Proportional to 88,047 and 207,675

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Solution

The third proportional to 88,047 and 207,675 is: 489,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,047 : 207,675 = 207,675 : x
  2. Step 2: Convert to fraction form
    88,047/207,675 = 207,675/x
  3. Step 3: Cross multiply
    88,047x = 207,675 × 207,675
  4. Step 4: Simplify right side
    88,047x = 43,128,905,625
  5. Step 5: Solve for x
    x = 43,128,905,625/88,047
  6. Step 6: Final answer
    x = 489,839.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.