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Finding the Third Proportional to 45,735 and 110,166

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Solution

The third proportional to 45,735 and 110,166 is: 265,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,735 : 110,166 = 110,166 : x
  2. Step 2: Convert to fraction form
    45,735/110,166 = 110,166/x
  3. Step 3: Cross multiply
    45,735x = 110,166 × 110,166
  4. Step 4: Simplify right side
    45,735x = 12,136,547,556
  5. Step 5: Solve for x
    x = 12,136,547,556/45,735
  6. Step 6: Final answer
    x = 265,366.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.