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Finding the Third Proportional to 73,000 and 157,391

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Solution

The third proportional to 73,000 and 157,391 is: 339,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,000 : 157,391 = 157,391 : x
  2. Step 2: Convert to fraction form
    73,000/157,391 = 157,391/x
  3. Step 3: Cross multiply
    73,000x = 157,391 × 157,391
  4. Step 4: Simplify right side
    73,000x = 24,771,926,881
  5. Step 5: Solve for x
    x = 24,771,926,881/73,000
  6. Step 6: Final answer
    x = 339,341.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.