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Finding the Third Proportional to 70,500 and 152,616

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Solution

The third proportional to 70,500 and 152,616 is: 330,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,500 : 152,616 = 152,616 : x
  2. Step 2: Convert to fraction form
    70,500/152,616 = 152,616/x
  3. Step 3: Cross multiply
    70,500x = 152,616 × 152,616
  4. Step 4: Simplify right side
    70,500x = 23,291,643,456
  5. Step 5: Solve for x
    x = 23,291,643,456/70,500
  6. Step 6: Final answer
    x = 330,377.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.