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Finding the Third Proportional to 74,151 and 158,145

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Solution

The third proportional to 74,151 and 158,145 is: 337,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,151 : 158,145 = 158,145 : x
  2. Step 2: Convert to fraction form
    74,151/158,145 = 158,145/x
  3. Step 3: Cross multiply
    74,151x = 158,145 × 158,145
  4. Step 4: Simplify right side
    74,151x = 25,009,841,025
  5. Step 5: Solve for x
    x = 25,009,841,025/74,151
  6. Step 6: Final answer
    x = 337,282.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.