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Finding the Third Proportional to 100,038 and 153,388

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Solution

The third proportional to 100,038 and 153,388 is: 235,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038 : 153,388 = 153,388 : x
  2. Step 2: Convert to fraction form
    100,038/153,388 = 153,388/x
  3. Step 3: Cross multiply
    100,038x = 153,388 × 153,388
  4. Step 4: Simplify right side
    100,038x = 23,527,878,544
  5. Step 5: Solve for x
    x = 23,527,878,544/100,038
  6. Step 6: Final answer
    x = 235,189.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.