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Finding the Third Proportional to 76,701 and 116,240

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Solution

The third proportional to 76,701 and 116,240 is: 176,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,701 : 116,240 = 116,240 : x
  2. Step 2: Convert to fraction form
    76,701/116,240 = 116,240/x
  3. Step 3: Cross multiply
    76,701x = 116,240 × 116,240
  4. Step 4: Simplify right side
    76,701x = 13,511,737,600
  5. Step 5: Solve for x
    x = 13,511,737,600/76,701
  6. Step 6: Final answer
    x = 176,161.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.