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Finding the Third Proportional to 129,244 and 174,578

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Solution

The third proportional to 129,244 and 174,578 is: 235,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,244 : 174,578 = 174,578 : x
  2. Step 2: Convert to fraction form
    129,244/174,578 = 174,578/x
  3. Step 3: Cross multiply
    129,244x = 174,578 × 174,578
  4. Step 4: Simplify right side
    129,244x = 30,477,478,084
  5. Step 5: Solve for x
    x = 30,477,478,084/129,244
  6. Step 6: Final answer
    x = 235,813.49

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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.