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Finding the Third Proportional to 76,695.75 and 165,642

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Solution

The third proportional to 76,695.75 and 165,642 is: 357,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,695.75 : 165,642 = 165,642 : x
  2. Step 2: Convert to fraction form
    76,695.75/165,642 = 165,642/x
  3. Step 3: Cross multiply
    76,695.75x = 165,642 × 165,642
  4. Step 4: Simplify right side
    76,695.75x = 27,437,272,164
  5. Step 5: Solve for x
    x = 27,437,272,164/76,695.75
  6. Step 6: Final answer
    x = 357,741.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.