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Finding the Third Proportional to 73,813 and 114,607

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Solution

The third proportional to 73,813 and 114,607 is: 177,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813 : 114,607 = 114,607 : x
  2. Step 2: Convert to fraction form
    73,813/114,607 = 114,607/x
  3. Step 3: Cross multiply
    73,813x = 114,607 × 114,607
  4. Step 4: Simplify right side
    73,813x = 13,134,764,449
  5. Step 5: Solve for x
    x = 13,134,764,449/73,813
  6. Step 6: Final answer
    x = 177,946.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.