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Finding the Third Proportional to 102,022 and 146,929

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Solution

The third proportional to 102,022 and 146,929 is: 211,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022 : 146,929 = 146,929 : x
  2. Step 2: Convert to fraction form
    102,022/146,929 = 146,929/x
  3. Step 3: Cross multiply
    102,022x = 146,929 × 146,929
  4. Step 4: Simplify right side
    102,022x = 21,588,131,041
  5. Step 5: Solve for x
    x = 21,588,131,041/102,022
  6. Step 6: Final answer
    x = 211,602.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.