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Finding the Third Proportional to 35,235 and 77,112

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Solution

The third proportional to 35,235 and 77,112 is: 168,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,235 : 77,112 = 77,112 : x
  2. Step 2: Convert to fraction form
    35,235/77,112 = 77,112/x
  3. Step 3: Cross multiply
    35,235x = 77,112 × 77,112
  4. Step 4: Simplify right side
    35,235x = 5,946,260,544
  5. Step 5: Solve for x
    x = 5,946,260,544/35,235
  6. Step 6: Final answer
    x = 168,760.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.