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Finding the Third Proportional to 71,401.50 and 151,971

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Solution

The third proportional to 71,401.50 and 151,971 is: 323,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,401.50 : 151,971 = 151,971 : x
  2. Step 2: Convert to fraction form
    71,401.50/151,971 = 151,971/x
  3. Step 3: Cross multiply
    71,401.50x = 151,971 × 151,971
  4. Step 4: Simplify right side
    71,401.50x = 23,095,184,841
  5. Step 5: Solve for x
    x = 23,095,184,841/71,401.50
  6. Step 6: Final answer
    x = 323,455.18

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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.