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Finding the Third Proportional to 70,104 and 152,038

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Solution

The third proportional to 70,104 and 152,038 is: 329,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,104 : 152,038 = 152,038 : x
  2. Step 2: Convert to fraction form
    70,104/152,038 = 152,038/x
  3. Step 3: Cross multiply
    70,104x = 152,038 × 152,038
  4. Step 4: Simplify right side
    70,104x = 23,115,553,444
  5. Step 5: Solve for x
    x = 23,115,553,444/70,104
  6. Step 6: Final answer
    x = 329,732.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.