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Finding the Third Proportional to 100,202 and 154,713

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Solution

The third proportional to 100,202 and 154,713 is: 238,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202 : 154,713 = 154,713 : x
  2. Step 2: Convert to fraction form
    100,202/154,713 = 154,713/x
  3. Step 3: Cross multiply
    100,202x = 154,713 × 154,713
  4. Step 4: Simplify right side
    100,202x = 23,936,112,369
  5. Step 5: Solve for x
    x = 23,936,112,369/100,202
  6. Step 6: Final answer
    x = 238,878.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.