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Finding the Third Proportional to 95,713.50 and 142,636.50

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Solution

The third proportional to 95,713.50 and 142,636.50 is: 212,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,713.50 : 142,636.50 = 142,636.50 : x
  2. Step 2: Convert to fraction form
    95,713.50/142,636.50 = 142,636.50/x
  3. Step 3: Cross multiply
    95,713.50x = 142,636.50 × 142,636.50
  4. Step 4: Simplify right side
    95,713.50x = 20,345,171,132.25
  5. Step 5: Solve for x
    x = 20,345,171,132.25/95,713.50
  6. Step 6: Final answer
    x = 212,563.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.