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Finding the Third Proportional to 129,010 and 273,680

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Solution

The third proportional to 129,010 and 273,680 is: 580,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,010 : 273,680 = 273,680 : x
  2. Step 2: Convert to fraction form
    129,010/273,680 = 273,680/x
  3. Step 3: Cross multiply
    129,010x = 273,680 × 273,680
  4. Step 4: Simplify right side
    129,010x = 74,900,742,400
  5. Step 5: Solve for x
    x = 74,900,742,400/129,010
  6. Step 6: Final answer
    x = 580,580.90

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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.