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Finding the Third Proportional to 71,626 and 155,300

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Solution

The third proportional to 71,626 and 155,300 is: 336,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,626 : 155,300 = 155,300 : x
  2. Step 2: Convert to fraction form
    71,626/155,300 = 155,300/x
  3. Step 3: Cross multiply
    71,626x = 155,300 × 155,300
  4. Step 4: Simplify right side
    71,626x = 24,118,090,000
  5. Step 5: Solve for x
    x = 24,118,090,000/71,626
  6. Step 6: Final answer
    x = 336,722.56

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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.