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Finding the Third Proportional to 100,036 and 144,294

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Solution

The third proportional to 100,036 and 144,294 is: 208,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,036 : 144,294 = 144,294 : x
  2. Step 2: Convert to fraction form
    100,036/144,294 = 144,294/x
  3. Step 3: Cross multiply
    100,036x = 144,294 × 144,294
  4. Step 4: Simplify right side
    100,036x = 20,820,758,436
  5. Step 5: Solve for x
    x = 20,820,758,436/100,036
  6. Step 6: Final answer
    x = 208,132.66

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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.