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Finding the Third Proportional to 69,781.50 and 152,604

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Solution

The third proportional to 69,781.50 and 152,604 is: 333,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,781.50 : 152,604 = 152,604 : x
  2. Step 2: Convert to fraction form
    69,781.50/152,604 = 152,604/x
  3. Step 3: Cross multiply
    69,781.50x = 152,604 × 152,604
  4. Step 4: Simplify right side
    69,781.50x = 23,287,980,816
  5. Step 5: Solve for x
    x = 23,287,980,816/69,781.50
  6. Step 6: Final answer
    x = 333,727.15

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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.