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Finding the Third Proportional to 76,501 and 118,747

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Solution

The third proportional to 76,501 and 118,747 is: 184,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,501 : 118,747 = 118,747 : x
  2. Step 2: Convert to fraction form
    76,501/118,747 = 118,747/x
  3. Step 3: Cross multiply
    76,501x = 118,747 × 118,747
  4. Step 4: Simplify right side
    76,501x = 14,100,850,009
  5. Step 5: Solve for x
    x = 14,100,850,009/76,501
  6. Step 6: Final answer
    x = 184,322.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.