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Finding the Third Proportional to 65,292 and 146,559

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Solution

The third proportional to 65,292 and 146,559 is: 328,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292 : 146,559 = 146,559 : x
  2. Step 2: Convert to fraction form
    65,292/146,559 = 146,559/x
  3. Step 3: Cross multiply
    65,292x = 146,559 × 146,559
  4. Step 4: Simplify right side
    65,292x = 21,479,540,481
  5. Step 5: Solve for x
    x = 21,479,540,481/65,292
  6. Step 6: Final answer
    x = 328,976.60

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.