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Finding the Third Proportional to 115,470 and 172,741

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Solution

The third proportional to 115,470 and 172,741 is: 258,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,470 : 172,741 = 172,741 : x
  2. Step 2: Convert to fraction form
    115,470/172,741 = 172,741/x
  3. Step 3: Cross multiply
    115,470x = 172,741 × 172,741
  4. Step 4: Simplify right side
    115,470x = 29,839,453,081
  5. Step 5: Solve for x
    x = 29,839,453,081/115,470
  6. Step 6: Final answer
    x = 258,417.36

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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.