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Finding the Third Proportional to 105,958.13 and 148,501.69

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Solution

The third proportional to 105,958.13 and 148,501.69 is: 208,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,958.13 : 148,501.69 = 148,501.69 : x
  2. Step 2: Convert to fraction form
    105,958.13/148,501.69 = 148,501.69/x
  3. Step 3: Cross multiply
    105,958.13x = 148,501.69 × 148,501.69
  4. Step 4: Simplify right side
    105,958.13x = 22,052,751,190.35
  5. Step 5: Solve for x
    x = 22,052,751,190.35/105,958.13
  6. Step 6: Final answer
    x = 208,127.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.