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Finding the Third Proportional to 105,026 and 166,299

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Solution

The third proportional to 105,026 and 166,299 is: 263,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,026 : 166,299 = 166,299 : x
  2. Step 2: Convert to fraction form
    105,026/166,299 = 166,299/x
  3. Step 3: Cross multiply
    105,026x = 166,299 × 166,299
  4. Step 4: Simplify right side
    105,026x = 27,655,357,401
  5. Step 5: Solve for x
    x = 27,655,357,401/105,026
  6. Step 6: Final answer
    x = 263,319.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.