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Finding the Third Proportional to 67,110 and 141,126

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Solution

The third proportional to 67,110 and 141,126 is: 296,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,110 : 141,126 = 141,126 : x
  2. Step 2: Convert to fraction form
    67,110/141,126 = 141,126/x
  3. Step 3: Cross multiply
    67,110x = 141,126 × 141,126
  4. Step 4: Simplify right side
    67,110x = 19,916,547,876
  5. Step 5: Solve for x
    x = 19,916,547,876/67,110
  6. Step 6: Final answer
    x = 296,774.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.