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Finding the Third Proportional to 76,134 and 114,207

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Solution

The third proportional to 76,134 and 114,207 is: 171,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134 : 114,207 = 114,207 : x
  2. Step 2: Convert to fraction form
    76,134/114,207 = 114,207/x
  3. Step 3: Cross multiply
    76,134x = 114,207 × 114,207
  4. Step 4: Simplify right side
    76,134x = 13,043,238,849
  5. Step 5: Solve for x
    x = 13,043,238,849/76,134
  6. Step 6: Final answer
    x = 171,319.50

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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.