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Finding the Third Proportional to 86,644 and 126,962

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Solution

The third proportional to 86,644 and 126,962 is: 186,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,644 : 126,962 = 126,962 : x
  2. Step 2: Convert to fraction form
    86,644/126,962 = 126,962/x
  3. Step 3: Cross multiply
    86,644x = 126,962 × 126,962
  4. Step 4: Simplify right side
    86,644x = 16,119,349,444
  5. Step 5: Solve for x
    x = 16,119,349,444/86,644
  6. Step 6: Final answer
    x = 186,041.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.