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Finding the Third Proportional to 54,748 and 120,272

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Solution

The third proportional to 54,748 and 120,272 is: 264,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,748 : 120,272 = 120,272 : x
  2. Step 2: Convert to fraction form
    54,748/120,272 = 120,272/x
  3. Step 3: Cross multiply
    54,748x = 120,272 × 120,272
  4. Step 4: Simplify right side
    54,748x = 14,465,353,984
  5. Step 5: Solve for x
    x = 14,465,353,984/54,748
  6. Step 6: Final answer
    x = 264,217.03

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