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Finding the Third Proportional to 77,885.25 and 170,184.75

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Solution

The third proportional to 77,885.25 and 170,184.75 is: 371,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,885.25 : 170,184.75 = 170,184.75 : x
  2. Step 2: Convert to fraction form
    77,885.25/170,184.75 = 170,184.75/x
  3. Step 3: Cross multiply
    77,885.25x = 170,184.75 × 170,184.75
  4. Step 4: Simplify right side
    77,885.25x = 28,962,849,132.56
  5. Step 5: Solve for x
    x = 28,962,849,132.56/77,885.25
  6. Step 6: Final answer
    x = 371,865.65

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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.