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Finding the Third Proportional to 76,148 and 163,636

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Solution

The third proportional to 76,148 and 163,636 is: 351,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148 : 163,636 = 163,636 : x
  2. Step 2: Convert to fraction form
    76,148/163,636 = 163,636/x
  3. Step 3: Cross multiply
    76,148x = 163,636 × 163,636
  4. Step 4: Simplify right side
    76,148x = 26,776,740,496
  5. Step 5: Solve for x
    x = 26,776,740,496/76,148
  6. Step 6: Final answer
    x = 351,640.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.