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Finding the Third Proportional to 73,008 and 113,712

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Solution

The third proportional to 73,008 and 113,712 is: 177,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,008 : 113,712 = 113,712 : x
  2. Step 2: Convert to fraction form
    73,008/113,712 = 113,712/x
  3. Step 3: Cross multiply
    73,008x = 113,712 × 113,712
  4. Step 4: Simplify right side
    73,008x = 12,930,418,944
  5. Step 5: Solve for x
    x = 12,930,418,944/73,008
  6. Step 6: Final answer
    x = 177,109.62

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Why These Related Problems?

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