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Finding the Third Proportional to 100,984 and 141,236

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Solution

The third proportional to 100,984 and 141,236 is: 197,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,984 : 141,236 = 141,236 : x
  2. Step 2: Convert to fraction form
    100,984/141,236 = 141,236/x
  3. Step 3: Cross multiply
    100,984x = 141,236 × 141,236
  4. Step 4: Simplify right side
    100,984x = 19,947,607,696
  5. Step 5: Solve for x
    x = 19,947,607,696/100,984
  6. Step 6: Final answer
    x = 197,532.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.