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Finding the Third Proportional to 65,628 and 98,422

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Solution

The third proportional to 65,628 and 98,422 is: 147,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,628 : 98,422 = 98,422 : x
  2. Step 2: Convert to fraction form
    65,628/98,422 = 98,422/x
  3. Step 3: Cross multiply
    65,628x = 98,422 × 98,422
  4. Step 4: Simplify right side
    65,628x = 9,686,890,084
  5. Step 5: Solve for x
    x = 9,686,890,084/65,628
  6. Step 6: Final answer
    x = 147,603.01

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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.