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Finding the Third Proportional to 142,870.74 and 195,914.70

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Solution

The third proportional to 142,870.74 and 195,914.70 is: 268,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,870.74 : 195,914.70 = 195,914.70 : x
  2. Step 2: Convert to fraction form
    142,870.74/195,914.70 = 195,914.70/x
  3. Step 3: Cross multiply
    142,870.74x = 195,914.70 × 195,914.70
  4. Step 4: Simplify right side
    142,870.74x = 38,382,570,063.52
  5. Step 5: Solve for x
    x = 38,382,570,063.52/142,870.74
  6. Step 6: Final answer
    x = 268,652.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.