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Finding the Third Proportional to 119,178.25 and 174,871.38

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Solution

The third proportional to 119,178.25 and 174,871.38 is: 256,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,178.25 : 174,871.38 = 174,871.38 : x
  2. Step 2: Convert to fraction form
    119,178.25/174,871.38 = 174,871.38/x
  3. Step 3: Cross multiply
    119,178.25x = 174,871.38 × 174,871.38
  4. Step 4: Simplify right side
    119,178.25x = 30,579,997,794.39
  5. Step 5: Solve for x
    x = 30,579,997,794.39/119,178.25
  6. Step 6: Final answer
    x = 256,590.42

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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.