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Finding the Third Proportional to 73,038 and 157,146

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Solution

The third proportional to 73,038 and 157,146 is: 338,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,038 : 157,146 = 157,146 : x
  2. Step 2: Convert to fraction form
    73,038/157,146 = 157,146/x
  3. Step 3: Cross multiply
    73,038x = 157,146 × 157,146
  4. Step 4: Simplify right side
    73,038x = 24,694,865,316
  5. Step 5: Solve for x
    x = 24,694,865,316/73,038
  6. Step 6: Final answer
    x = 338,109.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.