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Finding the Third Proportional to 66,060 and 145,242

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Solution

The third proportional to 66,060 and 145,242 is: 319,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,060 : 145,242 = 145,242 : x
  2. Step 2: Convert to fraction form
    66,060/145,242 = 145,242/x
  3. Step 3: Cross multiply
    66,060x = 145,242 × 145,242
  4. Step 4: Simplify right side
    66,060x = 21,095,238,564
  5. Step 5: Solve for x
    x = 21,095,238,564/66,060
  6. Step 6: Final answer
    x = 319,334.52

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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.