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Finding the Third Proportional to 88,710 and 191,634

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Solution

The third proportional to 88,710 and 191,634 is: 413,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,710 : 191,634 = 191,634 : x
  2. Step 2: Convert to fraction form
    88,710/191,634 = 191,634/x
  3. Step 3: Cross multiply
    88,710x = 191,634 × 191,634
  4. Step 4: Simplify right side
    88,710x = 36,723,589,956
  5. Step 5: Solve for x
    x = 36,723,589,956/88,710
  6. Step 6: Final answer
    x = 413,973.51

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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.