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Finding the Third Proportional to 88,746 and 193,044

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Solution

The third proportional to 88,746 and 193,044 is: 419,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,746 : 193,044 = 193,044 : x
  2. Step 2: Convert to fraction form
    88,746/193,044 = 193,044/x
  3. Step 3: Cross multiply
    88,746x = 193,044 × 193,044
  4. Step 4: Simplify right side
    88,746x = 37,265,985,936
  5. Step 5: Solve for x
    x = 37,265,985,936/88,746
  6. Step 6: Final answer
    x = 419,917.36

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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.