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Finding the Third Proportional to 100,368 and 146,992

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Solution

The third proportional to 100,368 and 146,992 is: 215,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,368 : 146,992 = 146,992 : x
  2. Step 2: Convert to fraction form
    100,368/146,992 = 146,992/x
  3. Step 3: Cross multiply
    100,368x = 146,992 × 146,992
  4. Step 4: Simplify right side
    100,368x = 21,606,648,064
  5. Step 5: Solve for x
    x = 21,606,648,064/100,368
  6. Step 6: Final answer
    x = 215,274.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.