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Finding the Third Proportional to 114,642.84 and 165,129.89

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Solution

The third proportional to 114,642.84 and 165,129.89 is: 237,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,642.84 : 165,129.89 = 165,129.89 : x
  2. Step 2: Convert to fraction form
    114,642.84/165,129.89 = 165,129.89/x
  3. Step 3: Cross multiply
    114,642.84x = 165,129.89 × 165,129.89
  4. Step 4: Simplify right side
    114,642.84x = 27,267,880,777.82
  5. Step 5: Solve for x
    x = 27,267,880,777.82/114,642.84
  6. Step 6: Final answer
    x = 237,850.70

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.