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Finding the Third Proportional to 45,800 and 97,600

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Solution

The third proportional to 45,800 and 97,600 is: 207,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,800 : 97,600 = 97,600 : x
  2. Step 2: Convert to fraction form
    45,800/97,600 = 97,600/x
  3. Step 3: Cross multiply
    45,800x = 97,600 × 97,600
  4. Step 4: Simplify right side
    45,800x = 9,525,760,000
  5. Step 5: Solve for x
    x = 9,525,760,000/45,800
  6. Step 6: Final answer
    x = 207,986.03

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Why These Related Problems?

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