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Finding the Third Proportional to 76,001 and 114,042.50

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Solution

The third proportional to 76,001 and 114,042.50 is: 171,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,001 : 114,042.50 = 114,042.50 : x
  2. Step 2: Convert to fraction form
    76,001/114,042.50 = 114,042.50/x
  3. Step 3: Cross multiply
    76,001x = 114,042.50 × 114,042.50
  4. Step 4: Simplify right side
    76,001x = 13,005,691,806.25
  5. Step 5: Solve for x
    x = 13,005,691,806.25/76,001
  6. Step 6: Final answer
    x = 171,125.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.