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Finding the Third Proportional to 66,059 and 145,240

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Solution

The third proportional to 66,059 and 145,240 is: 319,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,059 : 145,240 = 145,240 : x
  2. Step 2: Convert to fraction form
    66,059/145,240 = 145,240/x
  3. Step 3: Cross multiply
    66,059x = 145,240 × 145,240
  4. Step 4: Simplify right side
    66,059x = 21,094,657,600
  5. Step 5: Solve for x
    x = 21,094,657,600/66,059
  6. Step 6: Final answer
    x = 319,330.56

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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.