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Finding the Third Proportional to 70,130 and 152,015

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Solution

The third proportional to 70,130 and 152,015 is: 329,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,130 : 152,015 = 152,015 : x
  2. Step 2: Convert to fraction form
    70,130/152,015 = 152,015/x
  3. Step 3: Cross multiply
    70,130x = 152,015 × 152,015
  4. Step 4: Simplify right side
    70,130x = 23,108,560,225
  5. Step 5: Solve for x
    x = 23,108,560,225/70,130
  6. Step 6: Final answer
    x = 329,510.34

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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.