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Finding the Third Proportional to 88,646.50 and 192,062

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Solution

The third proportional to 88,646.50 and 192,062 is: 416,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,646.50 : 192,062 = 192,062 : x
  2. Step 2: Convert to fraction form
    88,646.50/192,062 = 192,062/x
  3. Step 3: Cross multiply
    88,646.50x = 192,062 × 192,062
  4. Step 4: Simplify right side
    88,646.50x = 36,887,811,844
  5. Step 5: Solve for x
    x = 36,887,811,844/88,646.50
  6. Step 6: Final answer
    x = 416,122.60

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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.