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Finding the Third Proportional to 99,026 and 148,515

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Solution

The third proportional to 99,026 and 148,515 is: 222,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,026 : 148,515 = 148,515 : x
  2. Step 2: Convert to fraction form
    99,026/148,515 = 148,515/x
  3. Step 3: Cross multiply
    99,026x = 148,515 × 148,515
  4. Step 4: Simplify right side
    99,026x = 22,056,705,225
  5. Step 5: Solve for x
    x = 22,056,705,225/99,026
  6. Step 6: Final answer
    x = 222,736.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.