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Finding the Third Proportional to 105,053.63 and 157,659.75

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Solution

The third proportional to 105,053.63 and 157,659.75 is: 236,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,053.63 : 157,659.75 = 157,659.75 : x
  2. Step 2: Convert to fraction form
    105,053.63/157,659.75 = 157,659.75/x
  3. Step 3: Cross multiply
    105,053.63x = 157,659.75 × 157,659.75
  4. Step 4: Simplify right side
    105,053.63x = 24,856,596,770.06
  5. Step 5: Solve for x
    x = 24,856,596,770.06/105,053.63
  6. Step 6: Final answer
    x = 236,608.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.