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Finding the Third Proportional to 87,072 and 193,572

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Solution

The third proportional to 87,072 and 193,572 is: 430,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,072 : 193,572 = 193,572 : x
  2. Step 2: Convert to fraction form
    87,072/193,572 = 193,572/x
  3. Step 3: Cross multiply
    87,072x = 193,572 × 193,572
  4. Step 4: Simplify right side
    87,072x = 37,470,119,184
  5. Step 5: Solve for x
    x = 37,470,119,184/87,072
  6. Step 6: Final answer
    x = 430,334.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.