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Finding the Third Proportional to 48,829 and 104,570

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Solution

The third proportional to 48,829 and 104,570 is: 223,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,829 : 104,570 = 104,570 : x
  2. Step 2: Convert to fraction form
    48,829/104,570 = 104,570/x
  3. Step 3: Cross multiply
    48,829x = 104,570 × 104,570
  4. Step 4: Simplify right side
    48,829x = 10,934,884,900
  5. Step 5: Solve for x
    x = 10,934,884,900/48,829
  6. Step 6: Final answer
    x = 223,942.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.