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Finding the Third Proportional to 105,035 and 166,313

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Solution

The third proportional to 105,035 and 166,313 is: 263,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,035 : 166,313 = 166,313 : x
  2. Step 2: Convert to fraction form
    105,035/166,313 = 166,313/x
  3. Step 3: Cross multiply
    105,035x = 166,313 × 166,313
  4. Step 4: Simplify right side
    105,035x = 27,660,013,969
  5. Step 5: Solve for x
    x = 27,660,013,969/105,035
  6. Step 6: Final answer
    x = 263,340.92

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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.