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Finding the Third Proportional to 65,576 and 98,084

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Solution

The third proportional to 65,576 and 98,084 is: 146,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576 : 98,084 = 98,084 : x
  2. Step 2: Convert to fraction form
    65,576/98,084 = 98,084/x
  3. Step 3: Cross multiply
    65,576x = 98,084 × 98,084
  4. Step 4: Simplify right side
    65,576x = 9,620,471,056
  5. Step 5: Solve for x
    x = 9,620,471,056/65,576
  6. Step 6: Final answer
    x = 146,707.20

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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.