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Finding the Third Proportional to 76,618.13 and 162,451.13

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Solution

The third proportional to 76,618.13 and 162,451.13 is: 344,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,618.13 : 162,451.13 = 162,451.13 : x
  2. Step 2: Convert to fraction form
    76,618.13/162,451.13 = 162,451.13/x
  3. Step 3: Cross multiply
    76,618.13x = 162,451.13 × 162,451.13
  4. Step 4: Simplify right side
    76,618.13x = 26,390,368,013.77
  5. Step 5: Solve for x
    x = 26,390,368,013.77/76,618.13
  6. Step 6: Final answer
    x = 344,440.27

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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.