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Finding the Third Proportional to 71,437.50 and 155,178

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Solution

The third proportional to 71,437.50 and 155,178 is: 337,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,437.50 : 155,178 = 155,178 : x
  2. Step 2: Convert to fraction form
    71,437.50/155,178 = 155,178/x
  3. Step 3: Cross multiply
    71,437.50x = 155,178 × 155,178
  4. Step 4: Simplify right side
    71,437.50x = 24,080,211,684
  5. Step 5: Solve for x
    x = 24,080,211,684/71,437.50
  6. Step 6: Final answer
    x = 337,080.83

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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.