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Finding the Third Proportional to 156,069.75 and 234,102

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Solution

The third proportional to 156,069.75 and 234,102 is: 351,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,069.75 : 234,102 = 234,102 : x
  2. Step 2: Convert to fraction form
    156,069.75/234,102 = 234,102/x
  3. Step 3: Cross multiply
    156,069.75x = 234,102 × 234,102
  4. Step 4: Simplify right side
    156,069.75x = 54,803,746,404
  5. Step 5: Solve for x
    x = 54,803,746,404/156,069.75
  6. Step 6: Final answer
    x = 351,149.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.