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Finding the Third Proportional to 52,064 and 113,956

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Solution

The third proportional to 52,064 and 113,956 is: 249,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,064 : 113,956 = 113,956 : x
  2. Step 2: Convert to fraction form
    52,064/113,956 = 113,956/x
  3. Step 3: Cross multiply
    52,064x = 113,956 × 113,956
  4. Step 4: Simplify right side
    52,064x = 12,985,969,936
  5. Step 5: Solve for x
    x = 12,985,969,936/52,064
  6. Step 6: Final answer
    x = 249,423.21

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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.