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Finding the Third Proportional to 99,834 and 149,409

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Solution

The third proportional to 99,834 and 149,409 is: 223,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,834 : 149,409 = 149,409 : x
  2. Step 2: Convert to fraction form
    99,834/149,409 = 149,409/x
  3. Step 3: Cross multiply
    99,834x = 149,409 × 149,409
  4. Step 4: Simplify right side
    99,834x = 22,323,049,281
  5. Step 5: Solve for x
    x = 22,323,049,281/99,834
  6. Step 6: Final answer
    x = 223,601.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.