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Finding the Third Proportional to 70,594 and 155,012

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Solution

The third proportional to 70,594 and 155,012 is: 340,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,594 : 155,012 = 155,012 : x
  2. Step 2: Convert to fraction form
    70,594/155,012 = 155,012/x
  3. Step 3: Cross multiply
    70,594x = 155,012 × 155,012
  4. Step 4: Simplify right side
    70,594x = 24,028,720,144
  5. Step 5: Solve for x
    x = 24,028,720,144/70,594
  6. Step 6: Final answer
    x = 340,379.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.