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Finding the Third Proportional to 71,904 and 152,880

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Solution

The third proportional to 71,904 and 152,880 is: 325,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,904 : 152,880 = 152,880 : x
  2. Step 2: Convert to fraction form
    71,904/152,880 = 152,880/x
  3. Step 3: Cross multiply
    71,904x = 152,880 × 152,880
  4. Step 4: Simplify right side
    71,904x = 23,372,294,400
  5. Step 5: Solve for x
    x = 23,372,294,400/71,904
  6. Step 6: Final answer
    x = 325,048.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.