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Finding the Third Proportional to 76,091 and 114,137

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Solution

The third proportional to 76,091 and 114,137 is: 171,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,091 : 114,137 = 114,137 : x
  2. Step 2: Convert to fraction form
    76,091/114,137 = 114,137/x
  3. Step 3: Cross multiply
    76,091x = 114,137 × 114,137
  4. Step 4: Simplify right side
    76,091x = 13,027,254,769
  5. Step 5: Solve for x
    x = 13,027,254,769/76,091
  6. Step 6: Final answer
    x = 171,206.25

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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.