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Finding the Third Proportional to 129,630 and 211,672.50

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Solution

The third proportional to 129,630 and 211,672.50 is: 345,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,630 : 211,672.50 = 211,672.50 : x
  2. Step 2: Convert to fraction form
    129,630/211,672.50 = 211,672.50/x
  3. Step 3: Cross multiply
    129,630x = 211,672.50 × 211,672.50
  4. Step 4: Simplify right side
    129,630x = 44,805,247,256.25
  5. Step 5: Solve for x
    x = 44,805,247,256.25/129,630
  6. Step 6: Final answer
    x = 345,639.49

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.