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Finding the Third Proportional to 73,479 and 113,089

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Solution

The third proportional to 73,479 and 113,089 is: 174,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,479 : 113,089 = 113,089 : x
  2. Step 2: Convert to fraction form
    73,479/113,089 = 113,089/x
  3. Step 3: Cross multiply
    73,479x = 113,089 × 113,089
  4. Step 4: Simplify right side
    73,479x = 12,789,121,921
  5. Step 5: Solve for x
    x = 12,789,121,921/73,479
  6. Step 6: Final answer
    x = 174,051.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.