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Finding the Third Proportional to 129,484 and 174,945

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Solution

The third proportional to 129,484 and 174,945 is: 236,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,484 : 174,945 = 174,945 : x
  2. Step 2: Convert to fraction form
    129,484/174,945 = 174,945/x
  3. Step 3: Cross multiply
    129,484x = 174,945 × 174,945
  4. Step 4: Simplify right side
    129,484x = 30,605,753,025
  5. Step 5: Solve for x
    x = 30,605,753,025/129,484
  6. Step 6: Final answer
    x = 236,367.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.