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Finding the Third Proportional to 42,205.50 and 92,253

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Solution

The third proportional to 42,205.50 and 92,253 is: 201,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.50 : 92,253 = 92,253 : x
  2. Step 2: Convert to fraction form
    42,205.50/92,253 = 92,253/x
  3. Step 3: Cross multiply
    42,205.50x = 92,253 × 92,253
  4. Step 4: Simplify right side
    42,205.50x = 8,510,616,009
  5. Step 5: Solve for x
    x = 8,510,616,009/42,205.50
  6. Step 6: Final answer
    x = 201,647.08

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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.