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Finding the Third Proportional to 121,888 and 185,184

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Solution

The third proportional to 121,888 and 185,184 is: 281,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,888 : 185,184 = 185,184 : x
  2. Step 2: Convert to fraction form
    121,888/185,184 = 185,184/x
  3. Step 3: Cross multiply
    121,888x = 185,184 × 185,184
  4. Step 4: Simplify right side
    121,888x = 34,293,113,856
  5. Step 5: Solve for x
    x = 34,293,113,856/121,888
  6. Step 6: Final answer
    x = 281,349.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.