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Finding the Third Proportional to 81,270 and 175,776.75

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Solution

The third proportional to 81,270 and 175,776.75 is: 380,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,270 : 175,776.75 = 175,776.75 : x
  2. Step 2: Convert to fraction form
    81,270/175,776.75 = 175,776.75/x
  3. Step 3: Cross multiply
    81,270x = 175,776.75 × 175,776.75
  4. Step 4: Simplify right side
    81,270x = 30,897,465,840.56
  5. Step 5: Solve for x
    x = 30,897,465,840.56/81,270
  6. Step 6: Final answer
    x = 380,182.92

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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.