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Finding the Third Proportional to 88,520 and 191,128

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Solution

The third proportional to 88,520 and 191,128 is: 412,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,520 : 191,128 = 191,128 : x
  2. Step 2: Convert to fraction form
    88,520/191,128 = 191,128/x
  3. Step 3: Cross multiply
    88,520x = 191,128 × 191,128
  4. Step 4: Simplify right side
    88,520x = 36,529,912,384
  5. Step 5: Solve for x
    x = 36,529,912,384/88,520
  6. Step 6: Final answer
    x = 412,674.11

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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.