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Finding the Third Proportional to 77,492.81 and 164,285.44

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Solution

The third proportional to 77,492.81 and 164,285.44 is: 348,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,492.81 : 164,285.44 = 164,285.44 : x
  2. Step 2: Convert to fraction form
    77,492.81/164,285.44 = 164,285.44/x
  3. Step 3: Cross multiply
    77,492.81x = 164,285.44 × 164,285.44
  4. Step 4: Simplify right side
    77,492.81x = 26,989,704,974.57
  5. Step 5: Solve for x
    x = 26,989,704,974.57/77,492.81
  6. Step 6: Final answer
    x = 348,286.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.