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Finding the Third Proportional to 77,884.03 and 116,696.53

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Solution

The third proportional to 77,884.03 and 116,696.53 is: 174,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,884.03 : 116,696.53 = 116,696.53 : x
  2. Step 2: Convert to fraction form
    77,884.03/116,696.53 = 116,696.53/x
  3. Step 3: Cross multiply
    77,884.03x = 116,696.53 × 116,696.53
  4. Step 4: Simplify right side
    77,884.03x = 13,618,080,405.78
  5. Step 5: Solve for x
    x = 13,618,080,405.78/77,884.03
  6. Step 6: Final answer
    x = 174,850.74

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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.