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Finding the Third Proportional to 77,745 and 169,977.75

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Solution

The third proportional to 77,745 and 169,977.75 is: 371,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,745 : 169,977.75 = 169,977.75 : x
  2. Step 2: Convert to fraction form
    77,745/169,977.75 = 169,977.75/x
  3. Step 3: Cross multiply
    77,745x = 169,977.75 × 169,977.75
  4. Step 4: Simplify right side
    77,745x = 28,892,435,495.06
  5. Step 5: Solve for x
    x = 28,892,435,495.06/77,745
  6. Step 6: Final answer
    x = 371,630.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.