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Finding the Third Proportional to 102,751.88 and 161,228.81

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Solution

The third proportional to 102,751.88 and 161,228.81 is: 252,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,751.88 : 161,228.81 = 161,228.81 : x
  2. Step 2: Convert to fraction form
    102,751.88/161,228.81 = 161,228.81/x
  3. Step 3: Cross multiply
    102,751.88x = 161,228.81 × 161,228.81
  4. Step 4: Simplify right side
    102,751.88x = 25,994,729,980.16
  5. Step 5: Solve for x
    x = 25,994,729,980.16/102,751.88
  6. Step 6: Final answer
    x = 252,985.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.