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Finding the Third Proportional to 101,790.56 and 149,721.75

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Solution

The third proportional to 101,790.56 and 149,721.75 is: 220,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,790.56 : 149,721.75 = 149,721.75 : x
  2. Step 2: Convert to fraction form
    101,790.56/149,721.75 = 149,721.75/x
  3. Step 3: Cross multiply
    101,790.56x = 149,721.75 × 149,721.75
  4. Step 4: Simplify right side
    101,790.56x = 22,416,602,423.06
  5. Step 5: Solve for x
    x = 22,416,602,423.06/101,790.56
  6. Step 6: Final answer
    x = 220,222.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.