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Finding the Third Proportional to 76,534 and 162,173

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Solution

The third proportional to 76,534 and 162,173 is: 343,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,534 : 162,173 = 162,173 : x
  2. Step 2: Convert to fraction form
    76,534/162,173 = 162,173/x
  3. Step 3: Cross multiply
    76,534x = 162,173 × 162,173
  4. Step 4: Simplify right side
    76,534x = 26,300,081,929
  5. Step 5: Solve for x
    x = 26,300,081,929/76,534
  6. Step 6: Final answer
    x = 343,639.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.