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Finding the Third Proportional to 52,349 and 115,066

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Solution

The third proportional to 52,349 and 115,066 is: 252,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,349 : 115,066 = 115,066 : x
  2. Step 2: Convert to fraction form
    52,349/115,066 = 115,066/x
  3. Step 3: Cross multiply
    52,349x = 115,066 × 115,066
  4. Step 4: Simplify right side
    52,349x = 13,240,184,356
  5. Step 5: Solve for x
    x = 13,240,184,356/52,349
  6. Step 6: Final answer
    x = 252,921.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.