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Finding the Third Proportional to 76,120 and 114,184

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Solution

The third proportional to 76,120 and 114,184 is: 171,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,120 : 114,184 = 114,184 : x
  2. Step 2: Convert to fraction form
    76,120/114,184 = 114,184/x
  3. Step 3: Cross multiply
    76,120x = 114,184 × 114,184
  4. Step 4: Simplify right side
    76,120x = 13,037,985,856
  5. Step 5: Solve for x
    x = 13,037,985,856/76,120
  6. Step 6: Final answer
    x = 171,282.00

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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.