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Finding the Third Proportional to 129,546 and 281,221.88

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Solution

The third proportional to 129,546 and 281,221.88 is: 610,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,546 : 281,221.88 = 281,221.88 : x
  2. Step 2: Convert to fraction form
    129,546/281,221.88 = 281,221.88/x
  3. Step 3: Cross multiply
    129,546x = 281,221.88 × 281,221.88
  4. Step 4: Simplify right side
    129,546x = 79,085,742,978.52
  5. Step 5: Solve for x
    x = 79,085,742,978.52/129,546
  6. Step 6: Final answer
    x = 610,483.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.