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Finding the Third Proportional to 119,950 and 176,037

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Solution

The third proportional to 119,950 and 176,037 is: 258,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,950 : 176,037 = 176,037 : x
  2. Step 2: Convert to fraction form
    119,950/176,037 = 176,037/x
  3. Step 3: Cross multiply
    119,950x = 176,037 × 176,037
  4. Step 4: Simplify right side
    119,950x = 30,989,025,369
  5. Step 5: Solve for x
    x = 30,989,025,369/119,950
  6. Step 6: Final answer
    x = 258,349.52

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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.