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Finding the Third Proportional to 90,452 and 132,967

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Solution

The third proportional to 90,452 and 132,967 is: 195,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,452 : 132,967 = 132,967 : x
  2. Step 2: Convert to fraction form
    90,452/132,967 = 132,967/x
  3. Step 3: Cross multiply
    90,452x = 132,967 × 132,967
  4. Step 4: Simplify right side
    90,452x = 17,680,223,089
  5. Step 5: Solve for x
    x = 17,680,223,089/90,452
  6. Step 6: Final answer
    x = 195,465.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.