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Finding the Third Proportional to 57,682.13 and 119,955.94

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Solution

The third proportional to 57,682.13 and 119,955.94 is: 249,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.13 : 119,955.94 = 119,955.94 : x
  2. Step 2: Convert to fraction form
    57,682.13/119,955.94 = 119,955.94/x
  3. Step 3: Cross multiply
    57,682.13x = 119,955.94 × 119,955.94
  4. Step 4: Simplify right side
    57,682.13x = 14,389,426,941.50
  5. Step 5: Solve for x
    x = 14,389,426,941.50/57,682.13
  6. Step 6: Final answer
    x = 249,460.76

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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.