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Finding the Third Proportional to 111,763 and 239,506

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Solution

The third proportional to 111,763 and 239,506 is: 513,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,763 : 239,506 = 239,506 : x
  2. Step 2: Convert to fraction form
    111,763/239,506 = 239,506/x
  3. Step 3: Cross multiply
    111,763x = 239,506 × 239,506
  4. Step 4: Simplify right side
    111,763x = 57,363,124,036
  5. Step 5: Solve for x
    x = 57,363,124,036/111,763
  6. Step 6: Final answer
    x = 513,256.84

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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.