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Finding the Third Proportional to 73,051 and 157,199

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Solution

The third proportional to 73,051 and 157,199 is: 338,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,051 : 157,199 = 157,199 : x
  2. Step 2: Convert to fraction form
    73,051/157,199 = 157,199/x
  3. Step 3: Cross multiply
    73,051x = 157,199 × 157,199
  4. Step 4: Simplify right side
    73,051x = 24,711,525,601
  5. Step 5: Solve for x
    x = 24,711,525,601/73,051
  6. Step 6: Final answer
    x = 338,277.72

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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.