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Finding the Third Proportional to 119,032 and 184,426

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Solution

The third proportional to 119,032 and 184,426 is: 285,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,032 : 184,426 = 184,426 : x
  2. Step 2: Convert to fraction form
    119,032/184,426 = 184,426/x
  3. Step 3: Cross multiply
    119,032x = 184,426 × 184,426
  4. Step 4: Simplify right side
    119,032x = 34,012,949,476
  5. Step 5: Solve for x
    x = 34,012,949,476/119,032
  6. Step 6: Final answer
    x = 285,746.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.