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Finding the Third Proportional to 78,243 and 117,739

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Solution

The third proportional to 78,243 and 117,739 is: 177,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,243 : 117,739 = 117,739 : x
  2. Step 2: Convert to fraction form
    78,243/117,739 = 117,739/x
  3. Step 3: Cross multiply
    78,243x = 117,739 × 117,739
  4. Step 4: Simplify right side
    78,243x = 13,862,472,121
  5. Step 5: Solve for x
    x = 13,862,472,121/78,243
  6. Step 6: Final answer
    x = 177,172.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.