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Finding the Third Proportional to 57,211 and 89,301

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Solution

The third proportional to 57,211 and 89,301 is: 139,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,211 : 89,301 = 89,301 : x
  2. Step 2: Convert to fraction form
    57,211/89,301 = 89,301/x
  3. Step 3: Cross multiply
    57,211x = 89,301 × 89,301
  4. Step 4: Simplify right side
    57,211x = 7,974,668,601
  5. Step 5: Solve for x
    x = 7,974,668,601/57,211
  6. Step 6: Final answer
    x = 139,390.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.