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Finding the Third Proportional to 65,530 and 98,060

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Solution

The third proportional to 65,530 and 98,060 is: 146,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530 : 98,060 = 98,060 : x
  2. Step 2: Convert to fraction form
    65,530/98,060 = 98,060/x
  3. Step 3: Cross multiply
    65,530x = 98,060 × 98,060
  4. Step 4: Simplify right side
    65,530x = 9,615,763,600
  5. Step 5: Solve for x
    x = 9,615,763,600/65,530
  6. Step 6: Final answer
    x = 146,738.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.