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Finding the Third Proportional to 101,060 and 140,153

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Solution

The third proportional to 101,060 and 140,153 is: 194,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,060 : 140,153 = 140,153 : x
  2. Step 2: Convert to fraction form
    101,060/140,153 = 140,153/x
  3. Step 3: Cross multiply
    101,060x = 140,153 × 140,153
  4. Step 4: Simplify right side
    101,060x = 19,642,863,409
  5. Step 5: Solve for x
    x = 19,642,863,409/101,060
  6. Step 6: Final answer
    x = 194,368.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.