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Finding the Third Proportional to 108,576 and 172,338

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Solution

The third proportional to 108,576 and 172,338 is: 273,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,576 : 172,338 = 172,338 : x
  2. Step 2: Convert to fraction form
    108,576/172,338 = 172,338/x
  3. Step 3: Cross multiply
    108,576x = 172,338 × 172,338
  4. Step 4: Simplify right side
    108,576x = 29,700,386,244
  5. Step 5: Solve for x
    x = 29,700,386,244/108,576
  6. Step 6: Final answer
    x = 273,544.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.