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Finding the Third Proportional to 122,904 and 185,484

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Solution

The third proportional to 122,904 and 185,484 is: 279,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 185,484 = 185,484 : x
  2. Step 2: Convert to fraction form
    122,904/185,484 = 185,484/x
  3. Step 3: Cross multiply
    122,904x = 185,484 × 185,484
  4. Step 4: Simplify right side
    122,904x = 34,404,314,256
  5. Step 5: Solve for x
    x = 34,404,314,256/122,904
  6. Step 6: Final answer
    x = 279,928.35

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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.