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Finding the Third Proportional to 77,032 and 114,909

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Solution

The third proportional to 77,032 and 114,909 is: 171,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,032 : 114,909 = 114,909 : x
  2. Step 2: Convert to fraction form
    77,032/114,909 = 114,909/x
  3. Step 3: Cross multiply
    77,032x = 114,909 × 114,909
  4. Step 4: Simplify right side
    77,032x = 13,204,078,281
  5. Step 5: Solve for x
    x = 13,204,078,281/77,032
  6. Step 6: Final answer
    x = 171,410.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.