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Finding the Third Proportional to 73,870 and 157,394

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Solution

The third proportional to 73,870 and 157,394 is: 335,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,870 : 157,394 = 157,394 : x
  2. Step 2: Convert to fraction form
    73,870/157,394 = 157,394/x
  3. Step 3: Cross multiply
    73,870x = 157,394 × 157,394
  4. Step 4: Simplify right side
    73,870x = 24,772,871,236
  5. Step 5: Solve for x
    x = 24,772,871,236/73,870
  6. Step 6: Final answer
    x = 335,357.67

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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.