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Finding the Third Proportional to 44,935 and 106,037

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Solution

The third proportional to 44,935 and 106,037 is: 250,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,935 : 106,037 = 106,037 : x
  2. Step 2: Convert to fraction form
    44,935/106,037 = 106,037/x
  3. Step 3: Cross multiply
    44,935x = 106,037 × 106,037
  4. Step 4: Simplify right side
    44,935x = 11,243,845,369
  5. Step 5: Solve for x
    x = 11,243,845,369/44,935
  6. Step 6: Final answer
    x = 250,224.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.