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Finding the Third Proportional to 77,634 and 117,189

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Solution

The third proportional to 77,634 and 117,189 is: 176,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,634 : 117,189 = 117,189 : x
  2. Step 2: Convert to fraction form
    77,634/117,189 = 117,189/x
  3. Step 3: Cross multiply
    77,634x = 117,189 × 117,189
  4. Step 4: Simplify right side
    77,634x = 13,733,261,721
  5. Step 5: Solve for x
    x = 13,733,261,721/77,634
  6. Step 6: Final answer
    x = 176,897.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.