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Finding the Third Proportional to 88,642 and 192,053

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Solution

The third proportional to 88,642 and 192,053 is: 416,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,642 : 192,053 = 192,053 : x
  2. Step 2: Convert to fraction form
    88,642/192,053 = 192,053/x
  3. Step 3: Cross multiply
    88,642x = 192,053 × 192,053
  4. Step 4: Simplify right side
    88,642x = 36,884,354,809
  5. Step 5: Solve for x
    x = 36,884,354,809/88,642
  6. Step 6: Final answer
    x = 416,104.72

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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.