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Finding the Third Proportional to 56,070 and 119,406

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Solution

The third proportional to 56,070 and 119,406 is: 254,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,070 : 119,406 = 119,406 : x
  2. Step 2: Convert to fraction form
    56,070/119,406 = 119,406/x
  3. Step 3: Cross multiply
    56,070x = 119,406 × 119,406
  4. Step 4: Simplify right side
    56,070x = 14,257,792,836
  5. Step 5: Solve for x
    x = 14,257,792,836/56,070
  6. Step 6: Final answer
    x = 254,285.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.