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Finding the Third Proportional to 107,412 and 157,827

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Solution

The third proportional to 107,412 and 157,827 is: 231,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,412 : 157,827 = 157,827 : x
  2. Step 2: Convert to fraction form
    107,412/157,827 = 157,827/x
  3. Step 3: Cross multiply
    107,412x = 157,827 × 157,827
  4. Step 4: Simplify right side
    107,412x = 24,909,361,929
  5. Step 5: Solve for x
    x = 24,909,361,929/107,412
  6. Step 6: Final answer
    x = 231,904.83

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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.