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Finding the Third Proportional to 71,064.84 and 155,494.69

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Solution

The third proportional to 71,064.84 and 155,494.69 is: 340,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,064.84 : 155,494.69 = 155,494.69 : x
  2. Step 2: Convert to fraction form
    71,064.84/155,494.69 = 155,494.69/x
  3. Step 3: Cross multiply
    71,064.84x = 155,494.69 × 155,494.69
  4. Step 4: Simplify right side
    71,064.84x = 24,178,597,840.72
  5. Step 5: Solve for x
    x = 24,178,597,840.72/71,064.84
  6. Step 6: Final answer
    x = 340,232.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.