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Finding the Third Proportional to 102,052.09 and 160,904.97

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Solution

The third proportional to 102,052.09 and 160,904.97 is: 253,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052.09 : 160,904.97 = 160,904.97 : x
  2. Step 2: Convert to fraction form
    102,052.09/160,904.97 = 160,904.97/x
  3. Step 3: Cross multiply
    102,052.09x = 160,904.97 × 160,904.97
  4. Step 4: Simplify right side
    102,052.09x = 25,890,409,596.97
  5. Step 5: Solve for x
    x = 25,890,409,596.97/102,052.09
  6. Step 6: Final answer
    x = 253,697.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.