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Finding the Third Proportional to 105,024.94 and 161,431.31

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Solution

The third proportional to 105,024.94 and 161,431.31 is: 248,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024.94 : 161,431.31 = 161,431.31 : x
  2. Step 2: Convert to fraction form
    105,024.94/161,431.31 = 161,431.31/x
  3. Step 3: Cross multiply
    105,024.94x = 161,431.31 × 161,431.31
  4. Step 4: Simplify right side
    105,024.94x = 26,060,068,655.47
  5. Step 5: Solve for x
    x = 26,060,068,655.47/105,024.94
  6. Step 6: Final answer
    x = 248,132.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.