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Finding the Third Proportional to 66,832 and 146,798

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Solution

The third proportional to 66,832 and 146,798 is: 322,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,832 : 146,798 = 146,798 : x
  2. Step 2: Convert to fraction form
    66,832/146,798 = 146,798/x
  3. Step 3: Cross multiply
    66,832x = 146,798 × 146,798
  4. Step 4: Simplify right side
    66,832x = 21,549,652,804
  5. Step 5: Solve for x
    x = 21,549,652,804/66,832
  6. Step 6: Final answer
    x = 322,445.13

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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.