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Finding the Third Proportional to 51,209.40 and 111,753.42

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Solution

The third proportional to 51,209.40 and 111,753.42 is: 243,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,209.40 : 111,753.42 = 111,753.42 : x
  2. Step 2: Convert to fraction form
    51,209.40/111,753.42 = 111,753.42/x
  3. Step 3: Cross multiply
    51,209.40x = 111,753.42 × 111,753.42
  4. Step 4: Simplify right side
    51,209.40x = 12,488,827,300.77
  5. Step 5: Solve for x
    x = 12,488,827,300.77/51,209.40
  6. Step 6: Final answer
    x = 243,877.62

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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.