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Finding the Third Proportional to 54,303 and 120,270

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Solution

The third proportional to 54,303 and 120,270 is: 266,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303 : 120,270 = 120,270 : x
  2. Step 2: Convert to fraction form
    54,303/120,270 = 120,270/x
  3. Step 3: Cross multiply
    54,303x = 120,270 × 120,270
  4. Step 4: Simplify right side
    54,303x = 14,464,872,900
  5. Step 5: Solve for x
    x = 14,464,872,900/54,303
  6. Step 6: Final answer
    x = 266,373.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.