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Finding the Third Proportional to 77,577.38 and 118,622.38

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Solution

The third proportional to 77,577.38 and 118,622.38 is: 181,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,577.38 : 118,622.38 = 118,622.38 : x
  2. Step 2: Convert to fraction form
    77,577.38/118,622.38 = 118,622.38/x
  3. Step 3: Cross multiply
    77,577.38x = 118,622.38 × 118,622.38
  4. Step 4: Simplify right side
    77,577.38x = 14,071,267,850.64
  5. Step 5: Solve for x
    x = 14,071,267,850.64/77,577.38
  6. Step 6: Final answer
    x = 181,383.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.