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Finding the Third Proportional to 100,495.50 and 159,968.50

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Solution

The third proportional to 100,495.50 and 159,968.50 is: 254,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,495.50 : 159,968.50 = 159,968.50 : x
  2. Step 2: Convert to fraction form
    100,495.50/159,968.50 = 159,968.50/x
  3. Step 3: Cross multiply
    100,495.50x = 159,968.50 × 159,968.50
  4. Step 4: Simplify right side
    100,495.50x = 25,589,920,992.25
  5. Step 5: Solve for x
    x = 25,589,920,992.25/100,495.50
  6. Step 6: Final answer
    x = 254,637.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.