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Finding the Third Proportional to 78,968 and 117,248

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Solution

The third proportional to 78,968 and 117,248 is: 174,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,968 : 117,248 = 117,248 : x
  2. Step 2: Convert to fraction form
    78,968/117,248 = 117,248/x
  3. Step 3: Cross multiply
    78,968x = 117,248 × 117,248
  4. Step 4: Simplify right side
    78,968x = 13,747,093,504
  5. Step 5: Solve for x
    x = 13,747,093,504/78,968
  6. Step 6: Final answer
    x = 174,084.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.