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Finding the Third Proportional to 133,037 and 146,159

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Solution

The third proportional to 133,037 and 146,159 is: 160,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037 : 146,159 = 146,159 : x
  2. Step 2: Convert to fraction form
    133,037/146,159 = 146,159/x
  3. Step 3: Cross multiply
    133,037x = 146,159 × 146,159
  4. Step 4: Simplify right side
    133,037x = 21,362,453,281
  5. Step 5: Solve for x
    x = 21,362,453,281/133,037
  6. Step 6: Final answer
    x = 160,575.28

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.