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Finding the Third Proportional to 85,648 and 130,494

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Solution

The third proportional to 85,648 and 130,494 is: 198,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,648 : 130,494 = 130,494 : x
  2. Step 2: Convert to fraction form
    85,648/130,494 = 130,494/x
  3. Step 3: Cross multiply
    85,648x = 130,494 × 130,494
  4. Step 4: Simplify right side
    85,648x = 17,028,684,036
  5. Step 5: Solve for x
    x = 17,028,684,036/85,648
  6. Step 6: Final answer
    x = 198,821.74

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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.