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Finding the Third Proportional to 81,965 and 174,937

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Solution

The third proportional to 81,965 and 174,937 is: 373,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,965 : 174,937 = 174,937 : x
  2. Step 2: Convert to fraction form
    81,965/174,937 = 174,937/x
  3. Step 3: Cross multiply
    81,965x = 174,937 × 174,937
  4. Step 4: Simplify right side
    81,965x = 30,602,953,969
  5. Step 5: Solve for x
    x = 30,602,953,969/81,965
  6. Step 6: Final answer
    x = 373,366.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.