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Finding the Third Proportional to 51,156.56 and 111,061.13

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Solution

The third proportional to 51,156.56 and 111,061.13 is: 241,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,156.56 : 111,061.13 = 111,061.13 : x
  2. Step 2: Convert to fraction form
    51,156.56/111,061.13 = 111,061.13/x
  3. Step 3: Cross multiply
    51,156.56x = 111,061.13 × 111,061.13
  4. Step 4: Simplify right side
    51,156.56x = 12,334,573,486.27
  5. Step 5: Solve for x
    x = 12,334,573,486.27/51,156.56
  6. Step 6: Final answer
    x = 241,114.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.