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Finding the Third Proportional to 113,989.13 and 171,044.63

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Solution

The third proportional to 113,989.13 and 171,044.63 is: 256,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,989.13 : 171,044.63 = 171,044.63 : x
  2. Step 2: Convert to fraction form
    113,989.13/171,044.63 = 171,044.63/x
  3. Step 3: Cross multiply
    113,989.13x = 171,044.63 × 171,044.63
  4. Step 4: Simplify right side
    113,989.13x = 29,256,263,741.39
  5. Step 5: Solve for x
    x = 29,256,263,741.39/113,989.13
  6. Step 6: Final answer
    x = 256,658.38

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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.