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Finding the Third Proportional to 52,972 and 113,611

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Solution

The third proportional to 52,972 and 113,611 is: 243,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,972 : 113,611 = 113,611 : x
  2. Step 2: Convert to fraction form
    52,972/113,611 = 113,611/x
  3. Step 3: Cross multiply
    52,972x = 113,611 × 113,611
  4. Step 4: Simplify right side
    52,972x = 12,907,459,321
  5. Step 5: Solve for x
    x = 12,907,459,321/52,972
  6. Step 6: Final answer
    x = 243,665.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.