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Finding the Third Proportional to 102,188.25 and 159,487.31

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Solution

The third proportional to 102,188.25 and 159,487.31 is: 248,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188.25 : 159,487.31 = 159,487.31 : x
  2. Step 2: Convert to fraction form
    102,188.25/159,487.31 = 159,487.31/x
  3. Step 3: Cross multiply
    102,188.25x = 159,487.31 × 159,487.31
  4. Step 4: Simplify right side
    102,188.25x = 25,436,202,848.47
  5. Step 5: Solve for x
    x = 25,436,202,848.47/102,188.25
  6. Step 6: Final answer
    x = 248,915.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.