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Finding the Third Proportional to 48,000 and 97,920

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Solution

The third proportional to 48,000 and 97,920 is: 199,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000 : 97,920 = 97,920 : x
  2. Step 2: Convert to fraction form
    48,000/97,920 = 97,920/x
  3. Step 3: Cross multiply
    48,000x = 97,920 × 97,920
  4. Step 4: Simplify right side
    48,000x = 9,588,326,400
  5. Step 5: Solve for x
    x = 9,588,326,400/48,000
  6. Step 6: Final answer
    x = 199,756.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.