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Finding the Third Proportional to 114,153 and 162,258

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Solution

The third proportional to 114,153 and 162,258 is: 230,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,153 : 162,258 = 162,258 : x
  2. Step 2: Convert to fraction form
    114,153/162,258 = 162,258/x
  3. Step 3: Cross multiply
    114,153x = 162,258 × 162,258
  4. Step 4: Simplify right side
    114,153x = 26,327,658,564
  5. Step 5: Solve for x
    x = 26,327,658,564/114,153
  6. Step 6: Final answer
    x = 230,634.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.