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Finding the Third Proportional to 104,029 and 152,339

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Solution

The third proportional to 104,029 and 152,339 is: 223,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,029 : 152,339 = 152,339 : x
  2. Step 2: Convert to fraction form
    104,029/152,339 = 152,339/x
  3. Step 3: Cross multiply
    104,029x = 152,339 × 152,339
  4. Step 4: Simplify right side
    104,029x = 23,207,170,921
  5. Step 5: Solve for x
    x = 23,207,170,921/104,029
  6. Step 6: Final answer
    x = 223,083.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.