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Finding the Third Proportional to 96,936 and 142,209

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Solution

The third proportional to 96,936 and 142,209 is: 208,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,936 : 142,209 = 142,209 : x
  2. Step 2: Convert to fraction form
    96,936/142,209 = 142,209/x
  3. Step 3: Cross multiply
    96,936x = 142,209 × 142,209
  4. Step 4: Simplify right side
    96,936x = 20,223,399,681
  5. Step 5: Solve for x
    x = 20,223,399,681/96,936
  6. Step 6: Final answer
    x = 208,626.31

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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.