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Finding the Third Proportional to 77,975 and 117,516

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Solution

The third proportional to 77,975 and 117,516 is: 177,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,975 : 117,516 = 117,516 : x
  2. Step 2: Convert to fraction form
    77,975/117,516 = 117,516/x
  3. Step 3: Cross multiply
    77,975x = 117,516 × 117,516
  4. Step 4: Simplify right side
    77,975x = 13,810,010,256
  5. Step 5: Solve for x
    x = 13,810,010,256/77,975
  6. Step 6: Final answer
    x = 177,108.18

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