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Finding the Third Proportional to 65,726 and 98,476

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Solution

The third proportional to 65,726 and 98,476 is: 147,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,726 : 98,476 = 98,476 : x
  2. Step 2: Convert to fraction form
    65,726/98,476 = 98,476/x
  3. Step 3: Cross multiply
    65,726x = 98,476 × 98,476
  4. Step 4: Simplify right side
    65,726x = 9,697,522,576
  5. Step 5: Solve for x
    x = 9,697,522,576/65,726
  6. Step 6: Final answer
    x = 147,544.69

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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.