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Finding the Third Proportional to 147,021 and 207,042

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Solution

The third proportional to 147,021 and 207,042 is: 291,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,021 : 207,042 = 207,042 : x
  2. Step 2: Convert to fraction form
    147,021/207,042 = 207,042/x
  3. Step 3: Cross multiply
    147,021x = 207,042 × 207,042
  4. Step 4: Simplify right side
    147,021x = 42,866,389,764
  5. Step 5: Solve for x
    x = 42,866,389,764/147,021
  6. Step 6: Final answer
    x = 291,566.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.