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Finding the Third Proportional to 54,670 and 84,341

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Solution

The third proportional to 54,670 and 84,341 is: 130,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,670 : 84,341 = 84,341 : x
  2. Step 2: Convert to fraction form
    54,670/84,341 = 84,341/x
  3. Step 3: Cross multiply
    54,670x = 84,341 × 84,341
  4. Step 4: Simplify right side
    54,670x = 7,113,404,281
  5. Step 5: Solve for x
    x = 7,113,404,281/54,670
  6. Step 6: Final answer
    x = 130,115.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.