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Finding the Third Proportional to 73,969 and 117,826

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Solution

The third proportional to 73,969 and 117,826 is: 187,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,969 : 117,826 = 117,826 : x
  2. Step 2: Convert to fraction form
    73,969/117,826 = 117,826/x
  3. Step 3: Cross multiply
    73,969x = 117,826 × 117,826
  4. Step 4: Simplify right side
    73,969x = 13,882,966,276
  5. Step 5: Solve for x
    x = 13,882,966,276/73,969
  6. Step 6: Final answer
    x = 187,686.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.