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Finding the Third Proportional to 80,746 and 115,583

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Solution

The third proportional to 80,746 and 115,583 is: 165,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,746 : 115,583 = 115,583 : x
  2. Step 2: Convert to fraction form
    80,746/115,583 = 115,583/x
  3. Step 3: Cross multiply
    80,746x = 115,583 × 115,583
  4. Step 4: Simplify right side
    80,746x = 13,359,429,889
  5. Step 5: Solve for x
    x = 13,359,429,889/80,746
  6. Step 6: Final answer
    x = 165,450.05

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.