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Finding the Third Proportional to 73,608 and 114,786

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Solution

The third proportional to 73,608 and 114,786 is: 178,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,608 : 114,786 = 114,786 : x
  2. Step 2: Convert to fraction form
    73,608/114,786 = 114,786/x
  3. Step 3: Cross multiply
    73,608x = 114,786 × 114,786
  4. Step 4: Simplify right side
    73,608x = 13,175,825,796
  5. Step 5: Solve for x
    x = 13,175,825,796/73,608
  6. Step 6: Final answer
    x = 178,999.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.