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Finding the Third Proportional to 129,441 and 173,830.50

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Solution

The third proportional to 129,441 and 173,830.50 is: 233,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,441 : 173,830.50 = 173,830.50 : x
  2. Step 2: Convert to fraction form
    129,441/173,830.50 = 173,830.50/x
  3. Step 3: Cross multiply
    129,441x = 173,830.50 × 173,830.50
  4. Step 4: Simplify right side
    129,441x = 30,217,042,730.25
  5. Step 5: Solve for x
    x = 30,217,042,730.25/129,441
  6. Step 6: Final answer
    x = 233,442.59

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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.