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Finding the Third Proportional to 78,944 and 118,176

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Solution

The third proportional to 78,944 and 118,176 is: 176,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,944 : 118,176 = 118,176 : x
  2. Step 2: Convert to fraction form
    78,944/118,176 = 118,176/x
  3. Step 3: Cross multiply
    78,944x = 118,176 × 118,176
  4. Step 4: Simplify right side
    78,944x = 13,965,566,976
  5. Step 5: Solve for x
    x = 13,965,566,976/78,944
  6. Step 6: Final answer
    x = 176,904.73

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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.