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Finding the Third Proportional to 129,014 and 273,688

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Solution

The third proportional to 129,014 and 273,688 is: 580,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,014 : 273,688 = 273,688 : x
  2. Step 2: Convert to fraction form
    129,014/273,688 = 273,688/x
  3. Step 3: Cross multiply
    129,014x = 273,688 × 273,688
  4. Step 4: Simplify right side
    129,014x = 74,905,121,344
  5. Step 5: Solve for x
    x = 74,905,121,344/129,014
  6. Step 6: Final answer
    x = 580,596.84

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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.