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Finding the Third Proportional to 119,938 and 176,019

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Solution

The third proportional to 119,938 and 176,019 is: 258,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,938 : 176,019 = 176,019 : x
  2. Step 2: Convert to fraction form
    119,938/176,019 = 176,019/x
  3. Step 3: Cross multiply
    119,938x = 176,019 × 176,019
  4. Step 4: Simplify right side
    119,938x = 30,982,688,361
  5. Step 5: Solve for x
    x = 30,982,688,361/119,938
  6. Step 6: Final answer
    x = 258,322.54

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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.