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Finding the Third Proportional to 100,912 and 144,037

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Solution

The third proportional to 100,912 and 144,037 is: 205,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,912 : 144,037 = 144,037 : x
  2. Step 2: Convert to fraction form
    100,912/144,037 = 144,037/x
  3. Step 3: Cross multiply
    100,912x = 144,037 × 144,037
  4. Step 4: Simplify right side
    100,912x = 20,746,657,369
  5. Step 5: Solve for x
    x = 20,746,657,369/100,912
  6. Step 6: Final answer
    x = 205,591.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.