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Finding the Third Proportional to 70,495 and 152,676

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Solution

The third proportional to 70,495 and 152,676 is: 330,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,495 : 152,676 = 152,676 : x
  2. Step 2: Convert to fraction form
    70,495/152,676 = 152,676/x
  3. Step 3: Cross multiply
    70,495x = 152,676 × 152,676
  4. Step 4: Simplify right side
    70,495x = 23,309,960,976
  5. Step 5: Solve for x
    x = 23,309,960,976/70,495
  6. Step 6: Final answer
    x = 330,661.20

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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.