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Finding the Third Proportional to 83,040 and 130,512

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Solution

The third proportional to 83,040 and 130,512 is: 205,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,040 : 130,512 = 130,512 : x
  2. Step 2: Convert to fraction form
    83,040/130,512 = 130,512/x
  3. Step 3: Cross multiply
    83,040x = 130,512 × 130,512
  4. Step 4: Simplify right side
    83,040x = 17,033,382,144
  5. Step 5: Solve for x
    x = 17,033,382,144/83,040
  6. Step 6: Final answer
    x = 205,122.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.