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Finding the Third Proportional to 80,127 and 116,056

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Solution

The third proportional to 80,127 and 116,056 is: 168,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,127 : 116,056 = 116,056 : x
  2. Step 2: Convert to fraction form
    80,127/116,056 = 116,056/x
  3. Step 3: Cross multiply
    80,127x = 116,056 × 116,056
  4. Step 4: Simplify right side
    80,127x = 13,468,995,136
  5. Step 5: Solve for x
    x = 13,468,995,136/80,127
  6. Step 6: Final answer
    x = 168,095.59

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.