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Finding the Third Proportional to 80,554 and 118,363.75

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Solution

The third proportional to 80,554 and 118,363.75 is: 173,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,554 : 118,363.75 = 118,363.75 : x
  2. Step 2: Convert to fraction form
    80,554/118,363.75 = 118,363.75/x
  3. Step 3: Cross multiply
    80,554x = 118,363.75 × 118,363.75
  4. Step 4: Simplify right side
    80,554x = 14,009,977,314.06
  5. Step 5: Solve for x
    x = 14,009,977,314.06/80,554
  6. Step 6: Final answer
    x = 173,920.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.