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Finding the Third Proportional to 96,938 and 142,211

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Solution

The third proportional to 96,938 and 142,211 is: 208,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,938 : 142,211 = 142,211 : x
  2. Step 2: Convert to fraction form
    96,938/142,211 = 142,211/x
  3. Step 3: Cross multiply
    96,938x = 142,211 × 142,211
  4. Step 4: Simplify right side
    96,938x = 20,223,968,521
  5. Step 5: Solve for x
    x = 20,223,968,521/96,938
  6. Step 6: Final answer
    x = 208,627.87

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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.