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Finding the Third Proportional to 112,023 and 185,004

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Solution

The third proportional to 112,023 and 185,004 is: 305,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,023 : 185,004 = 185,004 : x
  2. Step 2: Convert to fraction form
    112,023/185,004 = 185,004/x
  3. Step 3: Cross multiply
    112,023x = 185,004 × 185,004
  4. Step 4: Simplify right side
    112,023x = 34,226,480,016
  5. Step 5: Solve for x
    x = 34,226,480,016/112,023
  6. Step 6: Final answer
    x = 305,530.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.