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Finding the Third Proportional to 55,053 and 119,475

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Solution

The third proportional to 55,053 and 119,475 is: 259,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,053 : 119,475 = 119,475 : x
  2. Step 2: Convert to fraction form
    55,053/119,475 = 119,475/x
  3. Step 3: Cross multiply
    55,053x = 119,475 × 119,475
  4. Step 4: Simplify right side
    55,053x = 14,274,275,625
  5. Step 5: Solve for x
    x = 14,274,275,625/55,053
  6. Step 6: Final answer
    x = 259,282.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.