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Finding the Third Proportional to 133,045 and 146,167

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Solution

The third proportional to 133,045 and 146,167 is: 160,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,045 : 146,167 = 146,167 : x
  2. Step 2: Convert to fraction form
    133,045/146,167 = 146,167/x
  3. Step 3: Cross multiply
    133,045x = 146,167 × 146,167
  4. Step 4: Simplify right side
    133,045x = 21,364,791,889
  5. Step 5: Solve for x
    x = 21,364,791,889/133,045
  6. Step 6: Final answer
    x = 160,583.20

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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.