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Finding the Third Proportional to 145,815.75 and 195,963.75

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Solution

The third proportional to 145,815.75 and 195,963.75 is: 263,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,815.75 : 195,963.75 = 195,963.75 : x
  2. Step 2: Convert to fraction form
    145,815.75/195,963.75 = 195,963.75/x
  3. Step 3: Cross multiply
    145,815.75x = 195,963.75 × 195,963.75
  4. Step 4: Simplify right side
    145,815.75x = 38,401,791,314.06
  5. Step 5: Solve for x
    x = 38,401,791,314.06/145,815.75
  6. Step 6: Final answer
    x = 263,358.32

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.