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Finding the Third Proportional to 114,542 and 172,030

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Solution

The third proportional to 114,542 and 172,030 is: 258,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,542 : 172,030 = 172,030 : x
  2. Step 2: Convert to fraction form
    114,542/172,030 = 172,030/x
  3. Step 3: Cross multiply
    114,542x = 172,030 × 172,030
  4. Step 4: Simplify right side
    114,542x = 29,594,320,900
  5. Step 5: Solve for x
    x = 29,594,320,900/114,542
  6. Step 6: Final answer
    x = 258,370.91

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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.