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Finding the Third Proportional to 70,126 and 95,807

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Solution

The third proportional to 70,126 and 95,807 is: 130,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,126 : 95,807 = 95,807 : x
  2. Step 2: Convert to fraction form
    70,126/95,807 = 95,807/x
  3. Step 3: Cross multiply
    70,126x = 95,807 × 95,807
  4. Step 4: Simplify right side
    70,126x = 9,178,981,249
  5. Step 5: Solve for x
    x = 9,178,981,249/70,126
  6. Step 6: Final answer
    x = 130,892.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.