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Finding the Third Proportional to 116,785 and 156,929

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Solution

The third proportional to 116,785 and 156,929 is: 210,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,785 : 156,929 = 156,929 : x
  2. Step 2: Convert to fraction form
    116,785/156,929 = 156,929/x
  3. Step 3: Cross multiply
    116,785x = 156,929 × 156,929
  4. Step 4: Simplify right side
    116,785x = 24,626,711,041
  5. Step 5: Solve for x
    x = 24,626,711,041/116,785
  6. Step 6: Final answer
    x = 210,872.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.