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Finding the Third Proportional to 107,242 and 177,712

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Solution

The third proportional to 107,242 and 177,712 is: 294,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,242 : 177,712 = 177,712 : x
  2. Step 2: Convert to fraction form
    107,242/177,712 = 177,712/x
  3. Step 3: Cross multiply
    107,242x = 177,712 × 177,712
  4. Step 4: Simplify right side
    107,242x = 31,581,554,944
  5. Step 5: Solve for x
    x = 31,581,554,944/107,242
  6. Step 6: Final answer
    x = 294,488.68

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.