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Finding the Third Proportional to 101,260 and 134,388

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Solution

The third proportional to 101,260 and 134,388 is: 178,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,260 : 134,388 = 134,388 : x
  2. Step 2: Convert to fraction form
    101,260/134,388 = 134,388/x
  3. Step 3: Cross multiply
    101,260x = 134,388 × 134,388
  4. Step 4: Simplify right side
    101,260x = 18,060,134,544
  5. Step 5: Solve for x
    x = 18,060,134,544/101,260
  6. Step 6: Final answer
    x = 178,354.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.