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Finding the Third Proportional to 54,345 and 73,126.50

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Solution

The third proportional to 54,345 and 73,126.50 is: 98,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345 : 73,126.50 = 73,126.50 : x
  2. Step 2: Convert to fraction form
    54,345/73,126.50 = 73,126.50/x
  3. Step 3: Cross multiply
    54,345x = 73,126.50 × 73,126.50
  4. Step 4: Simplify right side
    54,345x = 5,347,485,002.25
  5. Step 5: Solve for x
    x = 5,347,485,002.25/54,345
  6. Step 6: Final answer
    x = 98,398.84

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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.