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Finding the Third Proportional to 65,772 and 98,270

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Solution

The third proportional to 65,772 and 98,270 is: 146,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772 : 98,270 = 98,270 : x
  2. Step 2: Convert to fraction form
    65,772/98,270 = 98,270/x
  3. Step 3: Cross multiply
    65,772x = 98,270 × 98,270
  4. Step 4: Simplify right side
    65,772x = 9,656,992,900
  5. Step 5: Solve for x
    x = 9,656,992,900/65,772
  6. Step 6: Final answer
    x = 146,825.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.