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Finding the Third Proportional to 41,570.50 and 89,047.50

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Solution

The third proportional to 41,570.50 and 89,047.50 is: 190,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,570.50 : 89,047.50 = 89,047.50 : x
  2. Step 2: Convert to fraction form
    41,570.50/89,047.50 = 89,047.50/x
  3. Step 3: Cross multiply
    41,570.50x = 89,047.50 × 89,047.50
  4. Step 4: Simplify right side
    41,570.50x = 7,929,457,256.25
  5. Step 5: Solve for x
    x = 7,929,457,256.25/41,570.50
  6. Step 6: Final answer
    x = 190,747.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.