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Finding the Third Proportional to 45,884.50 and 101,595

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Solution

The third proportional to 45,884.50 and 101,595 is: 224,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,884.50 : 101,595 = 101,595 : x
  2. Step 2: Convert to fraction form
    45,884.50/101,595 = 101,595/x
  3. Step 3: Cross multiply
    45,884.50x = 101,595 × 101,595
  4. Step 4: Simplify right side
    45,884.50x = 10,321,544,025
  5. Step 5: Solve for x
    x = 10,321,544,025/45,884.50
  6. Step 6: Final answer
    x = 224,946.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.