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Finding the Third Proportional to 79,116 and 118,689.75

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Solution

The third proportional to 79,116 and 118,689.75 is: 178,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,116 : 118,689.75 = 118,689.75 : x
  2. Step 2: Convert to fraction form
    79,116/118,689.75 = 118,689.75/x
  3. Step 3: Cross multiply
    79,116x = 118,689.75 × 118,689.75
  4. Step 4: Simplify right side
    79,116x = 14,087,256,755.06
  5. Step 5: Solve for x
    x = 14,087,256,755.06/79,116
  6. Step 6: Final answer
    x = 178,058.25

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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.