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Finding the Third Proportional to 70,444 and 95,944

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Solution

The third proportional to 70,444 and 95,944 is: 130,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,444 : 95,944 = 95,944 : x
  2. Step 2: Convert to fraction form
    70,444/95,944 = 95,944/x
  3. Step 3: Cross multiply
    70,444x = 95,944 × 95,944
  4. Step 4: Simplify right side
    70,444x = 9,205,251,136
  5. Step 5: Solve for x
    x = 9,205,251,136/70,444
  6. Step 6: Final answer
    x = 130,674.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.