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Finding the Third Proportional to 114,930 and 172,533

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Solution

The third proportional to 114,930 and 172,533 is: 259,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,930 : 172,533 = 172,533 : x
  2. Step 2: Convert to fraction form
    114,930/172,533 = 172,533/x
  3. Step 3: Cross multiply
    114,930x = 172,533 × 172,533
  4. Step 4: Simplify right side
    114,930x = 29,767,636,089
  5. Step 5: Solve for x
    x = 29,767,636,089/114,930
  6. Step 6: Final answer
    x = 259,006.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.