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Finding the Third Proportional to 77,664 and 117,938

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Solution

The third proportional to 77,664 and 117,938 is: 179,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,664 : 117,938 = 117,938 : x
  2. Step 2: Convert to fraction form
    77,664/117,938 = 117,938/x
  3. Step 3: Cross multiply
    77,664x = 117,938 × 117,938
  4. Step 4: Simplify right side
    77,664x = 13,909,371,844
  5. Step 5: Solve for x
    x = 13,909,371,844/77,664
  6. Step 6: Final answer
    x = 179,096.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.