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Finding the Third Proportional to 110,428 and 147,126

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Solution

The third proportional to 110,428 and 147,126 is: 196,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,428 : 147,126 = 147,126 : x
  2. Step 2: Convert to fraction form
    110,428/147,126 = 147,126/x
  3. Step 3: Cross multiply
    110,428x = 147,126 × 147,126
  4. Step 4: Simplify right side
    110,428x = 21,646,059,876
  5. Step 5: Solve for x
    x = 21,646,059,876/110,428
  6. Step 6: Final answer
    x = 196,019.67

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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.