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Finding the Third Proportional to 80,244 and 114,070

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Solution

The third proportional to 80,244 and 114,070 is: 162,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,244 : 114,070 = 114,070 : x
  2. Step 2: Convert to fraction form
    80,244/114,070 = 114,070/x
  3. Step 3: Cross multiply
    80,244x = 114,070 × 114,070
  4. Step 4: Simplify right side
    80,244x = 13,011,964,900
  5. Step 5: Solve for x
    x = 13,011,964,900/80,244
  6. Step 6: Final answer
    x = 162,154.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.