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Finding the Third Proportional to 52,090 and 80,297

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Solution

The third proportional to 52,090 and 80,297 is: 123,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090 : 80,297 = 80,297 : x
  2. Step 2: Convert to fraction form
    52,090/80,297 = 80,297/x
  3. Step 3: Cross multiply
    52,090x = 80,297 × 80,297
  4. Step 4: Simplify right side
    52,090x = 6,447,608,209
  5. Step 5: Solve for x
    x = 6,447,608,209/52,090
  6. Step 6: Final answer
    x = 123,778.23

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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.