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Finding the Third Proportional to 102,018.50 and 155,286

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Solution

The third proportional to 102,018.50 and 155,286 is: 236,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018.50 : 155,286 = 155,286 : x
  2. Step 2: Convert to fraction form
    102,018.50/155,286 = 155,286/x
  3. Step 3: Cross multiply
    102,018.50x = 155,286 × 155,286
  4. Step 4: Simplify right side
    102,018.50x = 24,113,741,796
  5. Step 5: Solve for x
    x = 24,113,741,796/102,018.50
  6. Step 6: Final answer
    x = 236,366.36

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