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Finding the Third Proportional to 75,576.38 and 114,868.13

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Solution

The third proportional to 75,576.38 and 114,868.13 is: 174,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,576.38 : 114,868.13 = 114,868.13 : x
  2. Step 2: Convert to fraction form
    75,576.38/114,868.13 = 114,868.13/x
  3. Step 3: Cross multiply
    75,576.38x = 114,868.13 × 114,868.13
  4. Step 4: Simplify right side
    75,576.38x = 13,194,686,141.02
  5. Step 5: Solve for x
    x = 13,194,686,141.02/75,576.38
  6. Step 6: Final answer
    x = 174,587.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.