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Finding the Third Proportional to 77,283 and 162,867.94

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Solution

The third proportional to 77,283 and 162,867.94 is: 343,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,283 : 162,867.94 = 162,867.94 : x
  2. Step 2: Convert to fraction form
    77,283/162,867.94 = 162,867.94/x
  3. Step 3: Cross multiply
    77,283x = 162,867.94 × 162,867.94
  4. Step 4: Simplify right side
    77,283x = 26,525,965,065.50
  5. Step 5: Solve for x
    x = 26,525,965,065.50/77,283
  6. Step 6: Final answer
    x = 343,231.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.