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Finding the Third Proportional to 76,710 and 117,738

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Solution

The third proportional to 76,710 and 117,738 is: 180,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710 : 117,738 = 117,738 : x
  2. Step 2: Convert to fraction form
    76,710/117,738 = 117,738/x
  3. Step 3: Cross multiply
    76,710x = 117,738 × 117,738
  4. Step 4: Simplify right side
    76,710x = 13,862,236,644
  5. Step 5: Solve for x
    x = 13,862,236,644/76,710
  6. Step 6: Final answer
    x = 180,709.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.