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Finding the Third Proportional to 73,944 and 113,658

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Solution

The third proportional to 73,944 and 113,658 is: 174,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,944 : 113,658 = 113,658 : x
  2. Step 2: Convert to fraction form
    73,944/113,658 = 113,658/x
  3. Step 3: Cross multiply
    73,944x = 113,658 × 113,658
  4. Step 4: Simplify right side
    73,944x = 12,918,140,964
  5. Step 5: Solve for x
    x = 12,918,140,964/73,944
  6. Step 6: Final answer
    x = 174,701.68

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