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Finding the Third Proportional to 50,232 and 80,292

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Solution

The third proportional to 50,232 and 80,292 is: 128,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,232 : 80,292 = 80,292 : x
  2. Step 2: Convert to fraction form
    50,232/80,292 = 80,292/x
  3. Step 3: Cross multiply
    50,232x = 80,292 × 80,292
  4. Step 4: Simplify right side
    50,232x = 6,446,805,264
  5. Step 5: Solve for x
    x = 6,446,805,264/50,232
  6. Step 6: Final answer
    x = 128,340.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.