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Finding the Third Proportional to 63,053 and 133,350

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Solution

The third proportional to 63,053 and 133,350 is: 282,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,053 : 133,350 = 133,350 : x
  2. Step 2: Convert to fraction form
    63,053/133,350 = 133,350/x
  3. Step 3: Cross multiply
    63,053x = 133,350 × 133,350
  4. Step 4: Simplify right side
    63,053x = 17,782,222,500
  5. Step 5: Solve for x
    x = 17,782,222,500/63,053
  6. Step 6: Final answer
    x = 282,020.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.