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Finding the Third Proportional to 66,346 and 145,722

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Solution

The third proportional to 66,346 and 145,722 is: 320,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,346 : 145,722 = 145,722 : x
  2. Step 2: Convert to fraction form
    66,346/145,722 = 145,722/x
  3. Step 3: Cross multiply
    66,346x = 145,722 × 145,722
  4. Step 4: Simplify right side
    66,346x = 21,234,901,284
  5. Step 5: Solve for x
    x = 21,234,901,284/66,346
  6. Step 6: Final answer
    x = 320,063.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.