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Finding the Third Proportional to 114,523 and 171,258

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Solution

The third proportional to 114,523 and 171,258 is: 256,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,523 : 171,258 = 171,258 : x
  2. Step 2: Convert to fraction form
    114,523/171,258 = 171,258/x
  3. Step 3: Cross multiply
    114,523x = 171,258 × 171,258
  4. Step 4: Simplify right side
    114,523x = 29,329,302,564
  5. Step 5: Solve for x
    x = 29,329,302,564/114,523
  6. Step 6: Final answer
    x = 256,099.67

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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.