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Finding the Third Proportional to 88,704 and 193,972

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Solution

The third proportional to 88,704 and 193,972 is: 424,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,704 : 193,972 = 193,972 : x
  2. Step 2: Convert to fraction form
    88,704/193,972 = 193,972/x
  3. Step 3: Cross multiply
    88,704x = 193,972 × 193,972
  4. Step 4: Simplify right side
    88,704x = 37,625,136,784
  5. Step 5: Solve for x
    x = 37,625,136,784/88,704
  6. Step 6: Final answer
    x = 424,165.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.