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Finding the Third Proportional to 74,145.38 and 174,817.13

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Solution

The third proportional to 74,145.38 and 174,817.13 is: 412,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145.38 : 174,817.13 = 174,817.13 : x
  2. Step 2: Convert to fraction form
    74,145.38/174,817.13 = 174,817.13/x
  3. Step 3: Cross multiply
    74,145.38x = 174,817.13 × 174,817.13
  4. Step 4: Simplify right side
    74,145.38x = 30,561,027,193.27
  5. Step 5: Solve for x
    x = 30,561,027,193.27/74,145.38
  6. Step 6: Final answer
    x = 412,177.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.