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Finding the Third Proportional to 34,371 and 72,201.38

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Solution

The third proportional to 34,371 and 72,201.38 is: 151,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,371 : 72,201.38 = 72,201.38 : x
  2. Step 2: Convert to fraction form
    34,371/72,201.38 = 72,201.38/x
  3. Step 3: Cross multiply
    34,371x = 72,201.38 × 72,201.38
  4. Step 4: Simplify right side
    34,371x = 5,213,038,551.89
  5. Step 5: Solve for x
    x = 5,213,038,551.89/34,371
  6. Step 6: Final answer
    x = 151,669.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.