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Finding the Third Proportional to 119,184 and 164,176

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Solution

The third proportional to 119,184 and 164,176 is: 226,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,184 : 164,176 = 164,176 : x
  2. Step 2: Convert to fraction form
    119,184/164,176 = 164,176/x
  3. Step 3: Cross multiply
    119,184x = 164,176 × 164,176
  4. Step 4: Simplify right side
    119,184x = 26,953,758,976
  5. Step 5: Solve for x
    x = 26,953,758,976/119,184
  6. Step 6: Final answer
    x = 226,152.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.