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Finding the Third Proportional to 88,755 and 193,062

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Solution

The third proportional to 88,755 and 193,062 is: 419,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,755 : 193,062 = 193,062 : x
  2. Step 2: Convert to fraction form
    88,755/193,062 = 193,062/x
  3. Step 3: Cross multiply
    88,755x = 193,062 × 193,062
  4. Step 4: Simplify right side
    88,755x = 37,272,935,844
  5. Step 5: Solve for x
    x = 37,272,935,844/88,755
  6. Step 6: Final answer
    x = 419,953.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.