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Finding the Third Proportional to 82,134 and 118,689.75

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Solution

The third proportional to 82,134 and 118,689.75 is: 171,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134 : 118,689.75 = 118,689.75 : x
  2. Step 2: Convert to fraction form
    82,134/118,689.75 = 118,689.75/x
  3. Step 3: Cross multiply
    82,134x = 118,689.75 × 118,689.75
  4. Step 4: Simplify right side
    82,134x = 14,087,256,755.06
  5. Step 5: Solve for x
    x = 14,087,256,755.06/82,134
  6. Step 6: Final answer
    x = 171,515.53

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.