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Finding the Third Proportional to 73,614 and 116,753

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Solution

The third proportional to 73,614 and 116,753 is: 185,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,614 : 116,753 = 116,753 : x
  2. Step 2: Convert to fraction form
    73,614/116,753 = 116,753/x
  3. Step 3: Cross multiply
    73,614x = 116,753 × 116,753
  4. Step 4: Simplify right side
    73,614x = 13,631,263,009
  5. Step 5: Solve for x
    x = 13,631,263,009/73,614
  6. Step 6: Final answer
    x = 185,172.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.