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Finding the Third Proportional to 90,438 and 132,951

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Solution

The third proportional to 90,438 and 132,951 is: 195,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,438 : 132,951 = 132,951 : x
  2. Step 2: Convert to fraction form
    90,438/132,951 = 132,951/x
  3. Step 3: Cross multiply
    90,438x = 132,951 × 132,951
  4. Step 4: Simplify right side
    90,438x = 17,675,968,401
  5. Step 5: Solve for x
    x = 17,675,968,401/90,438
  6. Step 6: Final answer
    x = 195,448.47

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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.