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Finding the Third Proportional to 112,511 and 166,303

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Solution

The third proportional to 112,511 and 166,303 is: 245,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,511 : 166,303 = 166,303 : x
  2. Step 2: Convert to fraction form
    112,511/166,303 = 166,303/x
  3. Step 3: Cross multiply
    112,511x = 166,303 × 166,303
  4. Step 4: Simplify right side
    112,511x = 27,656,687,809
  5. Step 5: Solve for x
    x = 27,656,687,809/112,511
  6. Step 6: Final answer
    x = 245,813.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.