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Finding the Third Proportional to 100,029 and 146,089

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Solution

The third proportional to 100,029 and 146,089 is: 213,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029 : 146,089 = 146,089 : x
  2. Step 2: Convert to fraction form
    100,029/146,089 = 146,089/x
  3. Step 3: Cross multiply
    100,029x = 146,089 × 146,089
  4. Step 4: Simplify right side
    100,029x = 21,341,995,921
  5. Step 5: Solve for x
    x = 21,341,995,921/100,029
  6. Step 6: Final answer
    x = 213,358.09

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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.