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Finding the Third Proportional to 64,955 and 141,665

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Solution

The third proportional to 64,955 and 141,665 is: 308,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,955 : 141,665 = 141,665 : x
  2. Step 2: Convert to fraction form
    64,955/141,665 = 141,665/x
  3. Step 3: Cross multiply
    64,955x = 141,665 × 141,665
  4. Step 4: Simplify right side
    64,955x = 20,068,972,225
  5. Step 5: Solve for x
    x = 20,068,972,225/64,955
  6. Step 6: Final answer
    x = 308,967.32

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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.