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Finding the Third Proportional to 80,617 and 175,043

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Solution

The third proportional to 80,617 and 175,043 is: 380,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,617 : 175,043 = 175,043 : x
  2. Step 2: Convert to fraction form
    80,617/175,043 = 175,043/x
  3. Step 3: Cross multiply
    80,617x = 175,043 × 175,043
  4. Step 4: Simplify right side
    80,617x = 30,640,051,849
  5. Step 5: Solve for x
    x = 30,640,051,849/80,617
  6. Step 6: Final answer
    x = 380,069.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.