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Finding the Third Proportional to 131,051.25 and 199,010.25

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Solution

The third proportional to 131,051.25 and 199,010.25 is: 302,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,051.25 : 199,010.25 = 199,010.25 : x
  2. Step 2: Convert to fraction form
    131,051.25/199,010.25 = 199,010.25/x
  3. Step 3: Cross multiply
    131,051.25x = 199,010.25 × 199,010.25
  4. Step 4: Simplify right side
    131,051.25x = 39,605,079,605.06
  5. Step 5: Solve for x
    x = 39,605,079,605.06/131,051.25
  6. Step 6: Final answer
    x = 302,210.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.