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Finding the Third Proportional to 66,042 and 145,206

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Solution

The third proportional to 66,042 and 145,206 is: 319,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,042 : 145,206 = 145,206 : x
  2. Step 2: Convert to fraction form
    66,042/145,206 = 145,206/x
  3. Step 3: Cross multiply
    66,042x = 145,206 × 145,206
  4. Step 4: Simplify right side
    66,042x = 21,084,782,436
  5. Step 5: Solve for x
    x = 21,084,782,436/66,042
  6. Step 6: Final answer
    x = 319,263.23

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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.