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Finding the Third Proportional to 76,852 and 114,790

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Solution

The third proportional to 76,852 and 114,790 is: 171,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852 : 114,790 = 114,790 : x
  2. Step 2: Convert to fraction form
    76,852/114,790 = 114,790/x
  3. Step 3: Cross multiply
    76,852x = 114,790 × 114,790
  4. Step 4: Simplify right side
    76,852x = 13,176,744,100
  5. Step 5: Solve for x
    x = 13,176,744,100/76,852
  6. Step 6: Final answer
    x = 171,456.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.