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Finding the Third Proportional to 45,395 and 70,006

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Solution

The third proportional to 45,395 and 70,006 is: 107,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,395 : 70,006 = 70,006 : x
  2. Step 2: Convert to fraction form
    45,395/70,006 = 70,006/x
  3. Step 3: Cross multiply
    45,395x = 70,006 × 70,006
  4. Step 4: Simplify right side
    45,395x = 4,900,840,036
  5. Step 5: Solve for x
    x = 4,900,840,036/45,395
  6. Step 6: Final answer
    x = 107,959.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.