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Finding the Third Proportional to 96,084 and 141,642

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Solution

The third proportional to 96,084 and 141,642 is: 208,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,084 : 141,642 = 141,642 : x
  2. Step 2: Convert to fraction form
    96,084/141,642 = 141,642/x
  3. Step 3: Cross multiply
    96,084x = 141,642 × 141,642
  4. Step 4: Simplify right side
    96,084x = 20,062,456,164
  5. Step 5: Solve for x
    x = 20,062,456,164/96,084
  6. Step 6: Final answer
    x = 208,801.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.