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Finding the Third Proportional to 65,080 and 142,094

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Solution

The third proportional to 65,080 and 142,094 is: 310,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,080 : 142,094 = 142,094 : x
  2. Step 2: Convert to fraction form
    65,080/142,094 = 142,094/x
  3. Step 3: Cross multiply
    65,080x = 142,094 × 142,094
  4. Step 4: Simplify right side
    65,080x = 20,190,704,836
  5. Step 5: Solve for x
    x = 20,190,704,836/65,080
  6. Step 6: Final answer
    x = 310,244.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.