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Finding the Third Proportional to 52,225 and 112,763

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Solution

The third proportional to 52,225 and 112,763 is: 243,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,225 : 112,763 = 112,763 : x
  2. Step 2: Convert to fraction form
    52,225/112,763 = 112,763/x
  3. Step 3: Cross multiply
    52,225x = 112,763 × 112,763
  4. Step 4: Simplify right side
    52,225x = 12,715,494,169
  5. Step 5: Solve for x
    x = 12,715,494,169/52,225
  6. Step 6: Final answer
    x = 243,475.24

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Why These Related Problems?

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