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Finding the Third Proportional to 52,573 and 113,570

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Solution

The third proportional to 52,573 and 113,570 is: 245,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,573 : 113,570 = 113,570 : x
  2. Step 2: Convert to fraction form
    52,573/113,570 = 113,570/x
  3. Step 3: Cross multiply
    52,573x = 113,570 × 113,570
  4. Step 4: Simplify right side
    52,573x = 12,898,144,900
  5. Step 5: Solve for x
    x = 12,898,144,900/52,573
  6. Step 6: Final answer
    x = 245,337.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.