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Finding the Third Proportional to 118,016 and 177,152

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Solution

The third proportional to 118,016 and 177,152 is: 265,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,016 : 177,152 = 177,152 : x
  2. Step 2: Convert to fraction form
    118,016/177,152 = 177,152/x
  3. Step 3: Cross multiply
    118,016x = 177,152 × 177,152
  4. Step 4: Simplify right side
    118,016x = 31,382,831,104
  5. Step 5: Solve for x
    x = 31,382,831,104/118,016
  6. Step 6: Final answer
    x = 265,920.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.