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Finding the Third Proportional to 118,932 and 184,549

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Solution

The third proportional to 118,932 and 184,549 is: 286,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,932 : 184,549 = 184,549 : x
  2. Step 2: Convert to fraction form
    118,932/184,549 = 184,549/x
  3. Step 3: Cross multiply
    118,932x = 184,549 × 184,549
  4. Step 4: Simplify right side
    118,932x = 34,058,333,401
  5. Step 5: Solve for x
    x = 34,058,333,401/118,932
  6. Step 6: Final answer
    x = 286,368.12

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