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Finding the Third Proportional to 76,158 and 113,790

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Solution

The third proportional to 76,158 and 113,790 is: 170,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,158 : 113,790 = 113,790 : x
  2. Step 2: Convert to fraction form
    76,158/113,790 = 113,790/x
  3. Step 3: Cross multiply
    76,158x = 113,790 × 113,790
  4. Step 4: Simplify right side
    76,158x = 12,948,164,100
  5. Step 5: Solve for x
    x = 12,948,164,100/76,158
  6. Step 6: Final answer
    x = 170,017.12

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