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Finding the Third Proportional to 119,944 and 176,024

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Solution

The third proportional to 119,944 and 176,024 is: 258,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,944 : 176,024 = 176,024 : x
  2. Step 2: Convert to fraction form
    119,944/176,024 = 176,024/x
  3. Step 3: Cross multiply
    119,944x = 176,024 × 176,024
  4. Step 4: Simplify right side
    119,944x = 30,984,448,576
  5. Step 5: Solve for x
    x = 30,984,448,576/119,944
  6. Step 6: Final answer
    x = 258,324.29

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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.