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Finding the Third Proportional to 54,376 and 73,180

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Solution

The third proportional to 54,376 and 73,180 is: 98,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,376 : 73,180 = 73,180 : x
  2. Step 2: Convert to fraction form
    54,376/73,180 = 73,180/x
  3. Step 3: Cross multiply
    54,376x = 73,180 × 73,180
  4. Step 4: Simplify right side
    54,376x = 5,355,312,400
  5. Step 5: Solve for x
    x = 5,355,312,400/54,376
  6. Step 6: Final answer
    x = 98,486.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.