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Finding the Third Proportional to 78,942 and 119,232

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Solution

The third proportional to 78,942 and 119,232 is: 180,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,942 : 119,232 = 119,232 : x
  2. Step 2: Convert to fraction form
    78,942/119,232 = 119,232/x
  3. Step 3: Cross multiply
    78,942x = 119,232 × 119,232
  4. Step 4: Simplify right side
    78,942x = 14,216,269,824
  5. Step 5: Solve for x
    x = 14,216,269,824/78,942
  6. Step 6: Final answer
    x = 180,085.00

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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.