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Finding the Third Proportional to 95,051.25 and 142,292.25

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Solution

The third proportional to 95,051.25 and 142,292.25 is: 213,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,051.25 : 142,292.25 = 142,292.25 : x
  2. Step 2: Convert to fraction form
    95,051.25/142,292.25 = 142,292.25/x
  3. Step 3: Cross multiply
    95,051.25x = 142,292.25 × 142,292.25
  4. Step 4: Simplify right side
    95,051.25x = 20,247,084,410.06
  5. Step 5: Solve for x
    x = 20,247,084,410.06/95,051.25
  6. Step 6: Final answer
    x = 213,012.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.