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Finding the Third Proportional to 53,330 and 80,332

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Solution

The third proportional to 53,330 and 80,332 is: 121,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,330 : 80,332 = 80,332 : x
  2. Step 2: Convert to fraction form
    53,330/80,332 = 80,332/x
  3. Step 3: Cross multiply
    53,330x = 80,332 × 80,332
  4. Step 4: Simplify right side
    53,330x = 6,453,230,224
  5. Step 5: Solve for x
    x = 6,453,230,224/53,330
  6. Step 6: Final answer
    x = 121,005.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.