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Finding the Third Proportional to 48,570 and 104,052

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Solution

The third proportional to 48,570 and 104,052 is: 222,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,570 : 104,052 = 104,052 : x
  2. Step 2: Convert to fraction form
    48,570/104,052 = 104,052/x
  3. Step 3: Cross multiply
    48,570x = 104,052 × 104,052
  4. Step 4: Simplify right side
    48,570x = 10,826,818,704
  5. Step 5: Solve for x
    x = 10,826,818,704/48,570
  6. Step 6: Final answer
    x = 222,911.65

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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.