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Finding the Third Proportional to 67,971.50 and 99,951

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Solution

The third proportional to 67,971.50 and 99,951 is: 146,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,971.50 : 99,951 = 99,951 : x
  2. Step 2: Convert to fraction form
    67,971.50/99,951 = 99,951/x
  3. Step 3: Cross multiply
    67,971.50x = 99,951 × 99,951
  4. Step 4: Simplify right side
    67,971.50x = 9,990,202,401
  5. Step 5: Solve for x
    x = 9,990,202,401/67,971.50
  6. Step 6: Final answer
    x = 146,976.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.