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Finding the Third Proportional to 88,749 and 193,046

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Solution

The third proportional to 88,749 and 193,046 is: 419,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,749 : 193,046 = 193,046 : x
  2. Step 2: Convert to fraction form
    88,749/193,046 = 193,046/x
  3. Step 3: Cross multiply
    88,749x = 193,046 × 193,046
  4. Step 4: Simplify right side
    88,749x = 37,266,758,116
  5. Step 5: Solve for x
    x = 37,266,758,116/88,749
  6. Step 6: Final answer
    x = 419,911.87

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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.