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Finding the Third Proportional to 98,004 and 143,223

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Solution

The third proportional to 98,004 and 143,223 is: 209,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,004 : 143,223 = 143,223 : x
  2. Step 2: Convert to fraction form
    98,004/143,223 = 143,223/x
  3. Step 3: Cross multiply
    98,004x = 143,223 × 143,223
  4. Step 4: Simplify right side
    98,004x = 20,512,827,729
  5. Step 5: Solve for x
    x = 20,512,827,729/98,004
  6. Step 6: Final answer
    x = 209,306.03

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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.