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Finding the Third Proportional to 101,894 and 239,752

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Solution

The third proportional to 101,894 and 239,752 is: 564,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,894 : 239,752 = 239,752 : x
  2. Step 2: Convert to fraction form
    101,894/239,752 = 239,752/x
  3. Step 3: Cross multiply
    101,894x = 239,752 × 239,752
  4. Step 4: Simplify right side
    101,894x = 57,481,021,504
  5. Step 5: Solve for x
    x = 57,481,021,504/101,894
  6. Step 6: Final answer
    x = 564,125.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.