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Finding the Third Proportional to 119,176 and 174,868

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Solution

The third proportional to 119,176 and 174,868 is: 256,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,176 : 174,868 = 174,868 : x
  2. Step 2: Convert to fraction form
    119,176/174,868 = 174,868/x
  3. Step 3: Cross multiply
    119,176x = 174,868 × 174,868
  4. Step 4: Simplify right side
    119,176x = 30,578,817,424
  5. Step 5: Solve for x
    x = 30,578,817,424/119,176
  6. Step 6: Final answer
    x = 256,585.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.