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Finding the Third Proportional to 76,137.94 and 165,711.75

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Solution

The third proportional to 76,137.94 and 165,711.75 is: 360,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,137.94 : 165,711.75 = 165,711.75 : x
  2. Step 2: Convert to fraction form
    76,137.94/165,711.75 = 165,711.75/x
  3. Step 3: Cross multiply
    76,137.94x = 165,711.75 × 165,711.75
  4. Step 4: Simplify right side
    76,137.94x = 27,460,384,088.06
  5. Step 5: Solve for x
    x = 27,460,384,088.06/76,137.94
  6. Step 6: Final answer
    x = 360,666.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.