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Finding the Third Proportional to 43,578.50 and 92,053

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Solution

The third proportional to 43,578.50 and 92,053 is: 194,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,578.50 : 92,053 = 92,053 : x
  2. Step 2: Convert to fraction form
    43,578.50/92,053 = 92,053/x
  3. Step 3: Cross multiply
    43,578.50x = 92,053 × 92,053
  4. Step 4: Simplify right side
    43,578.50x = 8,473,754,809
  5. Step 5: Solve for x
    x = 8,473,754,809/43,578.50
  6. Step 6: Final answer
    x = 194,448.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.