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Finding the Third Proportional to 76,695 and 117,722.25

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Solution

The third proportional to 76,695 and 117,722.25 is: 180,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,695 : 117,722.25 = 117,722.25 : x
  2. Step 2: Convert to fraction form
    76,695/117,722.25 = 117,722.25/x
  3. Step 3: Cross multiply
    76,695x = 117,722.25 × 117,722.25
  4. Step 4: Simplify right side
    76,695x = 13,858,528,145.06
  5. Step 5: Solve for x
    x = 13,858,528,145.06/76,695
  6. Step 6: Final answer
    x = 180,696.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.