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Finding the Third Proportional to 76,332.75 and 162,810

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Solution

The third proportional to 76,332.75 and 162,810 is: 347,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,332.75 : 162,810 = 162,810 : x
  2. Step 2: Convert to fraction form
    76,332.75/162,810 = 162,810/x
  3. Step 3: Cross multiply
    76,332.75x = 162,810 × 162,810
  4. Step 4: Simplify right side
    76,332.75x = 26,507,096,100
  5. Step 5: Solve for x
    x = 26,507,096,100/76,332.75
  6. Step 6: Final answer
    x = 347,257.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.