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Finding the Third Proportional to 100,038 and 144,297

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Solution

The third proportional to 100,038 and 144,297 is: 208,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038 : 144,297 = 144,297 : x
  2. Step 2: Convert to fraction form
    100,038/144,297 = 144,297/x
  3. Step 3: Cross multiply
    100,038x = 144,297 × 144,297
  4. Step 4: Simplify right side
    100,038x = 20,821,624,209
  5. Step 5: Solve for x
    x = 20,821,624,209/100,038
  6. Step 6: Final answer
    x = 208,137.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.