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Finding the Third Proportional to 88,722 and 192,364

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Solution

The third proportional to 88,722 and 192,364 is: 417,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,722 : 192,364 = 192,364 : x
  2. Step 2: Convert to fraction form
    88,722/192,364 = 192,364/x
  3. Step 3: Cross multiply
    88,722x = 192,364 × 192,364
  4. Step 4: Simplify right side
    88,722x = 37,003,908,496
  5. Step 5: Solve for x
    x = 37,003,908,496/88,722
  6. Step 6: Final answer
    x = 417,077.03

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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.