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Finding the Third Proportional to 71,834 and 157,044

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Solution

The third proportional to 71,834 and 157,044 is: 343,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,834 : 157,044 = 157,044 : x
  2. Step 2: Convert to fraction form
    71,834/157,044 = 157,044/x
  3. Step 3: Cross multiply
    71,834x = 157,044 × 157,044
  4. Step 4: Simplify right side
    71,834x = 24,662,817,936
  5. Step 5: Solve for x
    x = 24,662,817,936/71,834
  6. Step 6: Final answer
    x = 343,330.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.