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Finding the Third Proportional to 107,964 and 168,984

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Solution

The third proportional to 107,964 and 168,984 is: 264,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,964 : 168,984 = 168,984 : x
  2. Step 2: Convert to fraction form
    107,964/168,984 = 168,984/x
  3. Step 3: Cross multiply
    107,964x = 168,984 × 168,984
  4. Step 4: Simplify right side
    107,964x = 28,555,592,256
  5. Step 5: Solve for x
    x = 28,555,592,256/107,964
  6. Step 6: Final answer
    x = 264,491.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.