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Finding the Third Proportional to 70,120 and 152,069

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Solution

The third proportional to 70,120 and 152,069 is: 329,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120 : 152,069 = 152,069 : x
  2. Step 2: Convert to fraction form
    70,120/152,069 = 152,069/x
  3. Step 3: Cross multiply
    70,120x = 152,069 × 152,069
  4. Step 4: Simplify right side
    70,120x = 23,124,980,761
  5. Step 5: Solve for x
    x = 23,124,980,761/70,120
  6. Step 6: Final answer
    x = 329,791.51

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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.