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Finding the Third Proportional to 76,470.75 and 162,776.25

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Solution

The third proportional to 76,470.75 and 162,776.25 is: 346,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470.75 : 162,776.25 = 162,776.25 : x
  2. Step 2: Convert to fraction form
    76,470.75/162,776.25 = 162,776.25/x
  3. Step 3: Cross multiply
    76,470.75x = 162,776.25 × 162,776.25
  4. Step 4: Simplify right side
    76,470.75x = 26,496,107,564.06
  5. Step 5: Solve for x
    x = 26,496,107,564.06/76,470.75
  6. Step 6: Final answer
    x = 346,486.83

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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.