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Finding the Third Proportional to 102,018 and 155,284

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Solution

The third proportional to 102,018 and 155,284 is: 236,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018 : 155,284 = 155,284 : x
  2. Step 2: Convert to fraction form
    102,018/155,284 = 155,284/x
  3. Step 3: Cross multiply
    102,018x = 155,284 × 155,284
  4. Step 4: Simplify right side
    102,018x = 24,113,120,656
  5. Step 5: Solve for x
    x = 24,113,120,656/102,018
  6. Step 6: Final answer
    x = 236,361.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.