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Finding the Third Proportional to 51,040.13 and 118,032.19

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Solution

The third proportional to 51,040.13 and 118,032.19 is: 272,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,040.13 : 118,032.19 = 118,032.19 : x
  2. Step 2: Convert to fraction form
    51,040.13/118,032.19 = 118,032.19/x
  3. Step 3: Cross multiply
    51,040.13x = 118,032.19 × 118,032.19
  4. Step 4: Simplify right side
    51,040.13x = 13,931,597,286.04
  5. Step 5: Solve for x
    x = 13,931,597,286.04/51,040.13
  6. Step 6: Final answer
    x = 272,953.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.