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Finding the Third Proportional to 71,054 and 156,929

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Solution

The third proportional to 71,054 and 156,929 is: 346,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054 : 156,929 = 156,929 : x
  2. Step 2: Convert to fraction form
    71,054/156,929 = 156,929/x
  3. Step 3: Cross multiply
    71,054x = 156,929 × 156,929
  4. Step 4: Simplify right side
    71,054x = 24,626,711,041
  5. Step 5: Solve for x
    x = 24,626,711,041/71,054
  6. Step 6: Final answer
    x = 346,591.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.