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Finding the Third Proportional to 72,984 and 110,846.75

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Solution

The third proportional to 72,984 and 110,846.75 is: 168,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,984 : 110,846.75 = 110,846.75 : x
  2. Step 2: Convert to fraction form
    72,984/110,846.75 = 110,846.75/x
  3. Step 3: Cross multiply
    72,984x = 110,846.75 × 110,846.75
  4. Step 4: Simplify right side
    72,984x = 12,287,001,985.56
  5. Step 5: Solve for x
    x = 12,287,001,985.56/72,984
  6. Step 6: Final answer
    x = 168,351.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.