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Finding the Third Proportional to 80,010 and 107,360

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Solution

The third proportional to 80,010 and 107,360 is: 144,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,010 : 107,360 = 107,360 : x
  2. Step 2: Convert to fraction form
    80,010/107,360 = 107,360/x
  3. Step 3: Cross multiply
    80,010x = 107,360 × 107,360
  4. Step 4: Simplify right side
    80,010x = 11,526,169,600
  5. Step 5: Solve for x
    x = 11,526,169,600/80,010
  6. Step 6: Final answer
    x = 144,059.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.