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Finding the Third Proportional to 70,127 and 95,808

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Solution

The third proportional to 70,127 and 95,808 is: 130,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,127 : 95,808 = 95,808 : x
  2. Step 2: Convert to fraction form
    70,127/95,808 = 95,808/x
  3. Step 3: Cross multiply
    70,127x = 95,808 × 95,808
  4. Step 4: Simplify right side
    70,127x = 9,179,172,864
  5. Step 5: Solve for x
    x = 9,179,172,864/70,127
  6. Step 6: Final answer
    x = 130,893.56

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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.