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Finding the Third Proportional to 54,577 and 80,329.50

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Solution

The third proportional to 54,577 and 80,329.50 is: 118,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577 : 80,329.50 = 80,329.50 : x
  2. Step 2: Convert to fraction form
    54,577/80,329.50 = 80,329.50/x
  3. Step 3: Cross multiply
    54,577x = 80,329.50 × 80,329.50
  4. Step 4: Simplify right side
    54,577x = 6,452,828,570.25
  5. Step 5: Solve for x
    x = 6,452,828,570.25/54,577
  6. Step 6: Final answer
    x = 118,233.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.