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Finding the Third Proportional to 35,544 and 78,000

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Solution

The third proportional to 35,544 and 78,000 is: 171,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,544 : 78,000 = 78,000 : x
  2. Step 2: Convert to fraction form
    35,544/78,000 = 78,000/x
  3. Step 3: Cross multiply
    35,544x = 78,000 × 78,000
  4. Step 4: Simplify right side
    35,544x = 6,084,000,000
  5. Step 5: Solve for x
    x = 6,084,000,000/35,544
  6. Step 6: Final answer
    x = 171,168.13

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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.