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Finding the Third Proportional to 76,464.75 and 116,383.13

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Solution

The third proportional to 76,464.75 and 116,383.13 is: 177,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.75 : 116,383.13 = 116,383.13 : x
  2. Step 2: Convert to fraction form
    76,464.75/116,383.13 = 116,383.13/x
  3. Step 3: Cross multiply
    76,464.75x = 116,383.13 × 116,383.13
  4. Step 4: Simplify right side
    76,464.75x = 13,545,031,784.77
  5. Step 5: Solve for x
    x = 13,545,031,784.77/76,464.75
  6. Step 6: Final answer
    x = 177,140.86

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Why These Related Problems?

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