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Finding the Third Proportional to 102,240 and 137,664

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Solution

The third proportional to 102,240 and 137,664 is: 185,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,240 : 137,664 = 137,664 : x
  2. Step 2: Convert to fraction form
    102,240/137,664 = 137,664/x
  3. Step 3: Cross multiply
    102,240x = 137,664 × 137,664
  4. Step 4: Simplify right side
    102,240x = 18,951,376,896
  5. Step 5: Solve for x
    x = 18,951,376,896/102,240
  6. Step 6: Final answer
    x = 185,361.67

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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.