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Finding the Third Proportional to 70,116 and 100,785

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Solution

The third proportional to 70,116 and 100,785 is: 144,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,116 : 100,785 = 100,785 : x
  2. Step 2: Convert to fraction form
    70,116/100,785 = 100,785/x
  3. Step 3: Cross multiply
    70,116x = 100,785 × 100,785
  4. Step 4: Simplify right side
    70,116x = 10,157,616,225
  5. Step 5: Solve for x
    x = 10,157,616,225/70,116
  6. Step 6: Final answer
    x = 144,868.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.