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Finding the Third Proportional to 68,040 and 102,132

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Solution

The third proportional to 68,040 and 102,132 is: 153,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,040 : 102,132 = 102,132 : x
  2. Step 2: Convert to fraction form
    68,040/102,132 = 102,132/x
  3. Step 3: Cross multiply
    68,040x = 102,132 × 102,132
  4. Step 4: Simplify right side
    68,040x = 10,430,945,424
  5. Step 5: Solve for x
    x = 10,430,945,424/68,040
  6. Step 6: Final answer
    x = 153,306.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.