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Finding the Third Proportional to 76,113 and 114,174

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Solution

The third proportional to 76,113 and 114,174 is: 171,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,113 : 114,174 = 114,174 : x
  2. Step 2: Convert to fraction form
    76,113/114,174 = 114,174/x
  3. Step 3: Cross multiply
    76,113x = 114,174 × 114,174
  4. Step 4: Simplify right side
    76,113x = 13,035,702,276
  5. Step 5: Solve for x
    x = 13,035,702,276/76,113
  6. Step 6: Final answer
    x = 171,267.75

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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.