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Finding the Third Proportional to 54,306 and 120,276

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Solution

The third proportional to 54,306 and 120,276 is: 266,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306 : 120,276 = 120,276 : x
  2. Step 2: Convert to fraction form
    54,306/120,276 = 120,276/x
  3. Step 3: Cross multiply
    54,306x = 120,276 × 120,276
  4. Step 4: Simplify right side
    54,306x = 14,466,316,176
  5. Step 5: Solve for x
    x = 14,466,316,176/54,306
  6. Step 6: Final answer
    x = 266,385.23

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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.