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Finding the Third Proportional to 51,553 and 113,070

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Solution

The third proportional to 51,553 and 113,070 is: 247,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,553 : 113,070 = 113,070 : x
  2. Step 2: Convert to fraction form
    51,553/113,070 = 113,070/x
  3. Step 3: Cross multiply
    51,553x = 113,070 × 113,070
  4. Step 4: Simplify right side
    51,553x = 12,784,824,900
  5. Step 5: Solve for x
    x = 12,784,824,900/51,553
  6. Step 6: Final answer
    x = 247,993.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.