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Finding the Third Proportional to 114,593.63 and 172,106.44

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Solution

The third proportional to 114,593.63 and 172,106.44 is: 258,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,593.63 : 172,106.44 = 172,106.44 : x
  2. Step 2: Convert to fraction form
    114,593.63/172,106.44 = 172,106.44/x
  3. Step 3: Cross multiply
    114,593.63x = 172,106.44 × 172,106.44
  4. Step 4: Simplify right side
    114,593.63x = 29,620,625,828.94
  5. Step 5: Solve for x
    x = 29,620,625,828.94/114,593.63
  6. Step 6: Final answer
    x = 258,484.06

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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.