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Finding the Third Proportional to 102,444 and 138,102

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Solution

The third proportional to 102,444 and 138,102 is: 186,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,444 : 138,102 = 138,102 : x
  2. Step 2: Convert to fraction form
    102,444/138,102 = 138,102/x
  3. Step 3: Cross multiply
    102,444x = 138,102 × 138,102
  4. Step 4: Simplify right side
    102,444x = 19,072,162,404
  5. Step 5: Solve for x
    x = 19,072,162,404/102,444
  6. Step 6: Final answer
    x = 186,171.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.