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Finding the Third Proportional to 71,524.50 and 155,340

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Solution

The third proportional to 71,524.50 and 155,340 is: 337,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524.50 : 155,340 = 155,340 : x
  2. Step 2: Convert to fraction form
    71,524.50/155,340 = 155,340/x
  3. Step 3: Cross multiply
    71,524.50x = 155,340 × 155,340
  4. Step 4: Simplify right side
    71,524.50x = 24,130,515,600
  5. Step 5: Solve for x
    x = 24,130,515,600/71,524.50
  6. Step 6: Final answer
    x = 337,374.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.