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Finding the Third Proportional to 76,784 and 167,752

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Solution

The third proportional to 76,784 and 167,752 is: 366,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,784 : 167,752 = 167,752 : x
  2. Step 2: Convert to fraction form
    76,784/167,752 = 167,752/x
  3. Step 3: Cross multiply
    76,784x = 167,752 × 167,752
  4. Step 4: Simplify right side
    76,784x = 28,140,733,504
  5. Step 5: Solve for x
    x = 28,140,733,504/76,784
  6. Step 6: Final answer
    x = 366,492.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.