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Finding the Third Proportional to 78,024.75 and 117,733.13

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Solution

The third proportional to 78,024.75 and 117,733.13 is: 177,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,024.75 : 117,733.13 = 117,733.13 : x
  2. Step 2: Convert to fraction form
    78,024.75/117,733.13 = 117,733.13/x
  3. Step 3: Cross multiply
    78,024.75x = 117,733.13 × 117,733.13
  4. Step 4: Simplify right side
    78,024.75x = 13,861,088,722.27
  5. Step 5: Solve for x
    x = 13,861,088,722.27/78,024.75
  6. Step 6: Final answer
    x = 177,649.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.