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Finding the Third Proportional to 52,089 and 80,295

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Solution

The third proportional to 52,089 and 80,295 is: 123,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,089 : 80,295 = 80,295 : x
  2. Step 2: Convert to fraction form
    52,089/80,295 = 80,295/x
  3. Step 3: Cross multiply
    52,089x = 80,295 × 80,295
  4. Step 4: Simplify right side
    52,089x = 6,447,287,025
  5. Step 5: Solve for x
    x = 6,447,287,025/52,089
  6. Step 6: Final answer
    x = 123,774.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.