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Finding the Third Proportional to 69,720 and 152,400

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Solution

The third proportional to 69,720 and 152,400 is: 333,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,720 : 152,400 = 152,400 : x
  2. Step 2: Convert to fraction form
    69,720/152,400 = 152,400/x
  3. Step 3: Cross multiply
    69,720x = 152,400 × 152,400
  4. Step 4: Simplify right side
    69,720x = 23,225,760,000
  5. Step 5: Solve for x
    x = 23,225,760,000/69,720
  6. Step 6: Final answer
    x = 333,129.09

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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.