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Finding the Third Proportional to 54,345 and 73,125

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Solution

The third proportional to 54,345 and 73,125 is: 98,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345 : 73,125 = 73,125 : x
  2. Step 2: Convert to fraction form
    54,345/73,125 = 73,125/x
  3. Step 3: Cross multiply
    54,345x = 73,125 × 73,125
  4. Step 4: Simplify right side
    54,345x = 5,347,265,625
  5. Step 5: Solve for x
    x = 5,347,265,625/54,345
  6. Step 6: Final answer
    x = 98,394.80

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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.