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Finding the Third Proportional to 43,201 and 88,554.25

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Solution

The third proportional to 43,201 and 88,554.25 is: 181,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,201 : 88,554.25 = 88,554.25 : x
  2. Step 2: Convert to fraction form
    43,201/88,554.25 = 88,554.25/x
  3. Step 3: Cross multiply
    43,201x = 88,554.25 × 88,554.25
  4. Step 4: Simplify right side
    43,201x = 7,841,855,193.06
  5. Step 5: Solve for x
    x = 7,841,855,193.06/43,201
  6. Step 6: Final answer
    x = 181,520.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.