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Finding the Third Proportional to 90,717 and 143,032

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Solution

The third proportional to 90,717 and 143,032 is: 225,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,717 : 143,032 = 143,032 : x
  2. Step 2: Convert to fraction form
    90,717/143,032 = 143,032/x
  3. Step 3: Cross multiply
    90,717x = 143,032 × 143,032
  4. Step 4: Simplify right side
    90,717x = 20,458,153,024
  5. Step 5: Solve for x
    x = 20,458,153,024/90,717
  6. Step 6: Final answer
    x = 225,516.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.