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Finding the Third Proportional to 129,230 and 188,833

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Solution

The third proportional to 129,230 and 188,833 is: 275,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,230 : 188,833 = 188,833 : x
  2. Step 2: Convert to fraction form
    129,230/188,833 = 188,833/x
  3. Step 3: Cross multiply
    129,230x = 188,833 × 188,833
  4. Step 4: Simplify right side
    129,230x = 35,657,901,889
  5. Step 5: Solve for x
    x = 35,657,901,889/129,230
  6. Step 6: Final answer
    x = 275,925.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.