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Finding the Third Proportional to 52,090 and 113,980

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Solution

The third proportional to 52,090 and 113,980 is: 249,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090 : 113,980 = 113,980 : x
  2. Step 2: Convert to fraction form
    52,090/113,980 = 113,980/x
  3. Step 3: Cross multiply
    52,090x = 113,980 × 113,980
  4. Step 4: Simplify right side
    52,090x = 12,991,440,400
  5. Step 5: Solve for x
    x = 12,991,440,400/52,090
  6. Step 6: Final answer
    x = 249,403.73

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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.