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Finding the Third Proportional to 100,044 and 140,706

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Solution

The third proportional to 100,044 and 140,706 is: 197,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,044 : 140,706 = 140,706 : x
  2. Step 2: Convert to fraction form
    100,044/140,706 = 140,706/x
  3. Step 3: Cross multiply
    100,044x = 140,706 × 140,706
  4. Step 4: Simplify right side
    100,044x = 19,798,178,436
  5. Step 5: Solve for x
    x = 19,798,178,436/100,044
  6. Step 6: Final answer
    x = 197,894.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.