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Finding the Third Proportional to 121,552 and 184,004

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Solution

The third proportional to 121,552 and 184,004 is: 278,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,552 : 184,004 = 184,004 : x
  2. Step 2: Convert to fraction form
    121,552/184,004 = 184,004/x
  3. Step 3: Cross multiply
    121,552x = 184,004 × 184,004
  4. Step 4: Simplify right side
    121,552x = 33,857,472,016
  5. Step 5: Solve for x
    x = 33,857,472,016/121,552
  6. Step 6: Final answer
    x = 278,543.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.