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Finding the Third Proportional to 57,614.63 and 119,829.38

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Solution

The third proportional to 57,614.63 and 119,829.38 is: 249,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,614.63 : 119,829.38 = 119,829.38 : x
  2. Step 2: Convert to fraction form
    57,614.63/119,829.38 = 119,829.38/x
  3. Step 3: Cross multiply
    57,614.63x = 119,829.38 × 119,829.38
  4. Step 4: Simplify right side
    57,614.63x = 14,359,079,112.89
  5. Step 5: Solve for x
    x = 14,359,079,112.89/57,614.63
  6. Step 6: Final answer
    x = 249,226.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.