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Finding the Third Proportional to 71,996.34 and 155,030.20

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Solution

The third proportional to 71,996.34 and 155,030.20 is: 333,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,996.34 : 155,030.20 = 155,030.20 : x
  2. Step 2: Convert to fraction form
    71,996.34/155,030.20 = 155,030.20/x
  3. Step 3: Cross multiply
    71,996.34x = 155,030.20 × 155,030.20
  4. Step 4: Simplify right side
    71,996.34x = 24,034,363,880.98
  5. Step 5: Solve for x
    x = 24,034,363,880.98/71,996.34
  6. Step 6: Final answer
    x = 333,827.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.