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Finding the Third Proportional to 129,207.50 and 274,068.25

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Solution

The third proportional to 129,207.50 and 274,068.25 is: 581,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,207.50 : 274,068.25 = 274,068.25 : x
  2. Step 2: Convert to fraction form
    129,207.50/274,068.25 = 274,068.25/x
  3. Step 3: Cross multiply
    129,207.50x = 274,068.25 × 274,068.25
  4. Step 4: Simplify right side
    129,207.50x = 75,113,405,658.06
  5. Step 5: Solve for x
    x = 75,113,405,658.06/129,207.50
  6. Step 6: Final answer
    x = 581,339.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.