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Finding the Third Proportional to 58,762.97 and 126,365.06

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Solution

The third proportional to 58,762.97 and 126,365.06 is: 271,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,762.97 : 126,365.06 = 126,365.06 : x
  2. Step 2: Convert to fraction form
    58,762.97/126,365.06 = 126,365.06/x
  3. Step 3: Cross multiply
    58,762.97x = 126,365.06 × 126,365.06
  4. Step 4: Simplify right side
    58,762.97x = 15,968,129,020.63
  5. Step 5: Solve for x
    x = 15,968,129,020.63/58,762.97
  6. Step 6: Final answer
    x = 271,737.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.