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Finding the Third Proportional to 73,155 and 157,223

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Solution

The third proportional to 73,155 and 157,223 is: 337,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,155 : 157,223 = 157,223 : x
  2. Step 2: Convert to fraction form
    73,155/157,223 = 157,223/x
  3. Step 3: Cross multiply
    73,155x = 157,223 × 157,223
  4. Step 4: Simplify right side
    73,155x = 24,719,071,729
  5. Step 5: Solve for x
    x = 24,719,071,729/73,155
  6. Step 6: Final answer
    x = 337,899.96

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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.