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Finding the Third Proportional to 142,871.25 and 195,915.50

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Solution

The third proportional to 142,871.25 and 195,915.50 is: 268,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,871.25 : 195,915.50 = 195,915.50 : x
  2. Step 2: Convert to fraction form
    142,871.25/195,915.50 = 195,915.50/x
  3. Step 3: Cross multiply
    142,871.25x = 195,915.50 × 195,915.50
  4. Step 4: Simplify right side
    142,871.25x = 38,382,883,140.25
  5. Step 5: Solve for x
    x = 38,382,883,140.25/142,871.25
  6. Step 6: Final answer
    x = 268,653.65

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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.