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Finding the Third Proportional to 117,015.75 and 176,194.69

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Solution

The third proportional to 117,015.75 and 176,194.69 is: 265,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,015.75 : 176,194.69 = 176,194.69 : x
  2. Step 2: Convert to fraction form
    117,015.75/176,194.69 = 176,194.69/x
  3. Step 3: Cross multiply
    117,015.75x = 176,194.69 × 176,194.69
  4. Step 4: Simplify right side
    117,015.75x = 31,044,567,903.22
  5. Step 5: Solve for x
    x = 31,044,567,903.22/117,015.75
  6. Step 6: Final answer
    x = 265,302.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.