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Finding the Third Proportional to 85,990 and 130,283.25

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Solution

The third proportional to 85,990 and 130,283.25 is: 197,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,990 : 130,283.25 = 130,283.25 : x
  2. Step 2: Convert to fraction form
    85,990/130,283.25 = 130,283.25/x
  3. Step 3: Cross multiply
    85,990x = 130,283.25 × 130,283.25
  4. Step 4: Simplify right side
    85,990x = 16,973,725,230.56
  5. Step 5: Solve for x
    x = 16,973,725,230.56/85,990
  6. Step 6: Final answer
    x = 197,391.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.