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Finding the Third Proportional to 118,951 and 173,960

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Solution

The third proportional to 118,951 and 173,960 is: 254,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,951 : 173,960 = 173,960 : x
  2. Step 2: Convert to fraction form
    118,951/173,960 = 173,960/x
  3. Step 3: Cross multiply
    118,951x = 173,960 × 173,960
  4. Step 4: Simplify right side
    118,951x = 30,262,081,600
  5. Step 5: Solve for x
    x = 30,262,081,600/118,951
  6. Step 6: Final answer
    x = 254,407.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.