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Finding the Third Proportional to 75,426 and 156,069

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Solution

The third proportional to 75,426 and 156,069 is: 322,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,426 : 156,069 = 156,069 : x
  2. Step 2: Convert to fraction form
    75,426/156,069 = 156,069/x
  3. Step 3: Cross multiply
    75,426x = 156,069 × 156,069
  4. Step 4: Simplify right side
    75,426x = 24,357,532,761
  5. Step 5: Solve for x
    x = 24,357,532,761/75,426
  6. Step 6: Final answer
    x = 322,932.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.