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Finding the Third Proportional to 87,210 and 130,815

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Solution

The third proportional to 87,210 and 130,815 is: 196,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,210 : 130,815 = 130,815 : x
  2. Step 2: Convert to fraction form
    87,210/130,815 = 130,815/x
  3. Step 3: Cross multiply
    87,210x = 130,815 × 130,815
  4. Step 4: Simplify right side
    87,210x = 17,112,564,225
  5. Step 5: Solve for x
    x = 17,112,564,225/87,210
  6. Step 6: Final answer
    x = 196,222.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.