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Finding the Third Proportional to 81,001 and 176,622.50

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Solution

The third proportional to 81,001 and 176,622.50 is: 385,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,001 : 176,622.50 = 176,622.50 : x
  2. Step 2: Convert to fraction form
    81,001/176,622.50 = 176,622.50/x
  3. Step 3: Cross multiply
    81,001x = 176,622.50 × 176,622.50
  4. Step 4: Simplify right side
    81,001x = 31,195,507,506.25
  5. Step 5: Solve for x
    x = 31,195,507,506.25/81,001
  6. Step 6: Final answer
    x = 385,124.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.