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Finding the Third Proportional to 98,534 and 144,305

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Solution

The third proportional to 98,534 and 144,305 is: 211,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,534 : 144,305 = 144,305 : x
  2. Step 2: Convert to fraction form
    98,534/144,305 = 144,305/x
  3. Step 3: Cross multiply
    98,534x = 144,305 × 144,305
  4. Step 4: Simplify right side
    98,534x = 20,823,933,025
  5. Step 5: Solve for x
    x = 20,823,933,025/98,534
  6. Step 6: Final answer
    x = 211,337.54

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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.